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Singh, Abhishek; Rawat, Aparna; Singh, Jagdev

Wavelet transform on generalized quotient spaces and its applications. (English) Zbl 07907659

Singh, Jagdev (ed.) et al., Advances in mathematical modelling, applied analysis and computation. Proceedings of the fourth conference, ICMMAAC 2021, JECRC University, Jaipur, India, August 5–7, 2021. Singapore: Springer. Lect. Notes Netw. Syst. 415, 119-139 (2023).

MSC: 44A15 42C40 46F12

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dell’Isola, Francesco; Stilz, Maximilian

The «materialization» of forces: why confounding mathematical concept and physical entity makes the design of metamaterials arduous. (English) Zbl 1541.74003

ZAMM, Z. Angew. Math. Mech. 103, No. 2, Article ID e202200433, 50 p. (2023).

MSC: 74A40 74A99

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Lopushans’ka, G. P.; M’yaus, O. M.; Pasichnyk, O. V.

Inverse problem on determining many unknowns from Schwartz-type distributions. (Ukrainian. English summary) Zbl 07799296

Bukovyn. Mat. Zh. 11, No. 2, 162-172 (2023).

MSC: 80A23 35S10

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Kirane, Mokhtar; Lopushansky, Andriy; Lopushanska, Halyna

Inverse problem for a time-fractional differential equation with a time- and space-integral conditions. (English) Zbl 1532.35529

Math. Methods Appl. Sci. 46, No. 15, 16381-16393 (2023).

MSC: 35R30 35R11 35S10

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Gourevitch, Dmitry; Kaplan, Eyal

[Aizenbud, Avraham; Gourevitch, Dmitry]

Multiplicity one theorems for the generalized doubling method (with an appendix by Avraham Aizenbud and Dmitry Gourevitch). (English) Zbl 1527.22024

J. Eur. Math. Soc. (JEMS) 25, No. 8, 3007-3092 (2023).

Reviewer: Solomon Friedberg (Chestnut Hill)

MSC: 22E50 11F70 11F55 11F66 22E55

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Honda, Naofumi; Izawa, Takeshi; Suwa, Tatsuo

Sato hyperfunctions via relative Dolbeault cohomology. (English) Zbl 1510.32008

J. Math. Soc. Japan 75, No. 1, 229-290 (2023).

MSC: 32A45 32C35

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Thanga Rejini, M.; Subash Moorthy, R.

Fractional Hankel wavelet transform on the Schwartz type space. (English) Zbl 1507.46034

J. Pseudo-Differ. Oper. Appl. 13, No. 4, Paper No. 48, 19 p. (2022).

MSC: 46F12 44A15

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Gariboldi, Bianca; Gigante, Giacomo

Almost positive kernels on compact Riemannian manifolds. (English) Zbl 1497.58007

Math. Z. 302, No. 2, 783-801 (2022).

MSC: 58C40 42C15 11K38

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Amosov, G. G.; Baitenov, E. L.

On the space of Schwartz operators in the symmetric Fock space and its dual. (English. Russian original) Zbl 07584683

Vestn. St. Petersbg. Univ., Math. 55, No. 2, 135-140 (2022); translation from Vestn. St-Peterbg. Univ., Ser. I, Mat. Mekh. Astron. 9(67), No. 2, 193-201 (2022).

Reviewer: Fattah Sakuldee (Warszawa)

MSC: 47B10 46L60 47L80 81P16 46F99

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Iguchi, Yuga; Yamada, Toshihiro

Weak approximation of SDEs for tempered distributions and applications. (English) Zbl 1498.60189

Adv. Comput. Math. 48, No. 5, Paper No. 52, 43 p. (2022).

MSC: 60H07 60H30 60H35 60J60 65C05

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Abuzyarova, Natalia Fairbakhova

On properties of functions invertible in the sense of Ehrenpreis in the Schwartz algebra. (English) Zbl 1499.30241

Eurasian Math. J. 13, No. 1, 9-18 (2022).

MSC: 30D15 42A38 46F05

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Prasad, Akhilesh; Sharma, P. B.

Pseudo-differential operator associated with quadratic-phase Fourier transform. (English) Zbl 1501.46040

Bol. Soc. Mat. Mex., III. Ser. 28, No. 2, Paper No. 37, 14 p. (2022).

MSC: 46F12 43A32 35S05 47G30 46E35 44A35 47F05

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Chiron, David

Analysis paths. Volume 1. Schwartz space, tempered distributions and Fourier transformation. (Chemins d’analyse. Tome 1. Espace de Schwartz, distributions tempérées et transformation de Fourier.) (French) Zbl 1485.46001

Mathématiques en Devenir 127. Montrouge: Calvage et Mounet (ISBN 978-2-9163-5288-6/pbk). xiii, 456 p. (2021).

MSC: 46-01 46A11 46Fxx 42-01

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Srivastava, H. M.; Chauhan, Manmohan Singh; Upadhyay, S. K.

Asymptotic series of a general symbol and pseudo-differential operators involving the Kontorovich-Lebedev transform. (English) Zbl 1494.44005

J. Nonlinear Convex Anal. 22, No. 11, 2461-2478 (2021).

MSC: 44A15 35S05 46F12 46E35 33C10 44A35

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Musin, I. Kh.; Rakhimova, A. I.

Paley-Wiener-Schwartz type theorem for ultradistributions on an unbounded closed convex set. (English. Russian original) Zbl 1484.46047

J. Math. Sci., New York 259, No. 2, 210-229 (2021); translation from Probl. Mat. Anal. 112, 89-104 (2021).

Reviewer: Antonio Galbis (Valencia)

MSC: 46F05 46F12 46E10

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Antonić, Nenad; Erceg, Marko; Mišur, Marin

Distributions of anisotropic order and applications to H-distributions. (English) Zbl 1477.42010

Anal. Appl., Singap. 19, No. 5, 801-843 (2021).

MSC: 42B15 42B20 42B37 35S05 46E30 47G30

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Lopushanska, Halyna; Lopushansky, Andriy

Inverse problems for a time fractional diffusion equation in the Schwartz-type distributions. (English) Zbl 1470.80009

Math. Methods Appl. Sci. 44, No. 3, 2381-2392 (2021).

MSC: 80A23 35S10 35R11

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Abuzyarova, N. F.

On conditions of invertibility in the sense of Ehrenpreis in the Schwartz algebra. (English) Zbl 1479.46049

Lobachevskii J. Math. 42, No. 6, 1141-1153 (2021).

Reviewer: Christian Bargetz (Innsbruck)

MSC: 46F05 46F12 30D15

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Ansari, Z. A.; Prasad, Akhilesh

Abelian theorems and Calderón’s reproducing formula for linear canonical wavelet transform. (English) Zbl 1477.46046

J. Pseudo-Differ. Oper. Appl. 12, No. 1, Paper No. 4, 26 p. (2021).

Reviewer: Antonio Galbis (Valencia)

MSC: 46F12 43A32 65T60 44A15

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Thanga Rejini, M.; Subash Moorthy, R.

Wave packet transform and fractional wave packet transform of rapidly decreasing functions. (English) Zbl 1472.44003

Int. J. Wavelets Multiresolut. Inf. Process. 19, No. 2, Article ID 2050077, 28 p. (2021).

MSC: 44A15 46F12

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Todorov, Todor D.

Infinite-dimensional linear algebra and solvability of partial differential equations. (English) Zbl 1465.35109

J. Log. Anal. 13, Paper No. 5, 34 p. (2021).

MSC: 35D35 35E20 35J15 46F05 46F10 47F05 46S20 46F30

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Kumar, Manish

A new class of pseudo-differential operators involving linear canonical transform. (English) Zbl 1477.46048

Int. J. Appl. Comput. Math. 6, No. 6, Paper No. 165, 23 p. (2020).

MSC: 46F12 47G30 35K05 35L05

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Jain, Pankaj; Kumar, Rajender; Prasad, Akhilesh

Generalized Schwartz type spaces and LCT based pseudodifferential operator. (English) Zbl 1456.35249

Trans. A. Razmadze Math. Inst. 174, No. 1, 93-106 (2020).

MSC: 35S05 44A35 46F12 46A11

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Nafidi, Ahmed; Moutabir, Ghizlane; Gutiérrez-Sánchez, Ramón; Ramos-Ábalos, Eva

Stochastic square of the Brennan-Schwartz diffusion process: statistical computation and application. (English) Zbl 1448.62139

Methodol. Comput. Appl. Probab. 22, No. 2, 455-476 (2020).

MSC: 62M30 60H30 60J60 65C30 62P25

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Sharyn, S.

Algebraic and differential properties of polynomial Fourier transformation. (English) Zbl 1452.46032

Mat. Stud. 53, No. 1, 59-68 (2020).

Reviewer: Denis Sidorov (Irkutsk)

MSC: 46F12 46F05 46F25 46E50

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Jacob, Niels; Evans, Kristian P.

A course in analysis. Vol. V: Functional analysis, some operator theory, theory of distributions. (English) Zbl 1456.46001

Hackensack, NJ: World Scientific (ISBN 978-981-12-1549-0/hbk; 978-981-12-1633-6/pbk). xxii, 831 p. (2020).

Reviewer: Sorin-Mihai Grad (Wien)

MSC: 46-01 47-01 46Fxx

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Boiti, Chiara; Jornet, David; Oliaro, Alessandro

Real Paley-Wiener theorems in spaces of ultradifferentiable functions. (English) Zbl 1439.46032

J. Funct. Anal. 278, No. 4, Article ID 108348, 45 p. (2020).

Reviewer: Antonio Galbis (Valencia)

MSC: 46F12 46F05 42B10

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Prasad, Akhilesh; Ansari, Z. A.

Approximation of linear canonical wavelet transform on the generalized Sobolev spaces. (English) Zbl 1430.43003

J. Pseudo-Differ. Oper. Appl. 10, No. 4, 855-881 (2019).

Reviewer: Françoise Bastin (Liège)

MSC: 43A32 42C40 46E35 46F12

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Buralieva, J. V.; Saneva, K.; Atanasova, S.

Directional short-time Fourier transform and quasiasymptotics of distributions. (English. Russian original) Zbl 1443.46026

Funct. Anal. Appl. 53, No. 1, 3-10 (2019); translation from Funkts. Anal. Prilozh. 53, No. 1, 6-15 (2019).

Reviewer: P. K. Banerji (Jodhpur)

MSC: 46F12 42B10 44A99 44A12 11M45

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Abdullah, Saleh; Elshatarat, Bushra

Fractional Fourier transformation of Schwartz test functions. (English) Zbl 1443.46025

Boll. Unione Mat. Ital. 12, No. 4, 599-611 (2019).

Reviewer: P. K. Banerji (Jodhpur)

MSC: 46F12 26A33 42A38

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Pandey, J. N.

Continuous wavelet transform of Schwartz distributions. (English) Zbl 1428.42074

Rocky Mt. J. Math. 49, No. 6, 2005-2028 (2019).

MSC: 42C40 46F12 46F05 46F10

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Upadhyay, S. K.; Khatterwani, Komal

Characterizations of certain Hankel transform involving Riemann-Liouville fractional derivatives. (English) Zbl 1449.42009

Comput. Appl. Math. 38, No. 1, Paper No. 24, 25 p. (2019).

MSC: 42A38 26A33 42A50 46F05 46F12

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Pandey, Jagdish Narayan; Maurya, Jay Singh; Upadhyay, Santosh Kumar; Srivastava, Hari Mohan

Continuous wavelet transform of Schwartz tempered distributions in \(S^\prime (\mathbb{R}^n)\). (English) Zbl 1416.46043

Symmetry 11, No. 2, Paper No. 235, 8 p. (2019).

MSC: 46F12 46F05

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Bahouri, Hajer; Chemin, Jean-Yves; Danchin, Raphaël

Tempered distributions and Fourier transform on the Heisenberg group. (Distributions tempérées et transformation de Fourier sur le groupe de Heisenberg.) (English) Zbl 1422.43006

Ann. Henri Lebesgue 1, 1-45 (2018).

Reviewer: Koichi Saka (Akita)

MSC: 43A30 22E30 43A80 22E25

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Elazar, Boaz; Shaviv, Ary

Schwartz functions on real algebraic varieties. (English) Zbl 1445.14078

Can. J. Math. 70, No. 5, 1008-1037 (2018).

Reviewer: Maria Infusino (Konstanz)

MSC: 14P05 14P20 22E45 46A11 46F05

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Olevskii, A.; Ulanovskii, A.

Discrete translates in function spaces. (English) Zbl 1413.42011

Anal. Math. 44, No. 2, 251-261 (2018).

Reviewer: Adhemar Bultheel (Leuven)

MSC: 42A65 46F99

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Mala, Anshu; Singh, Abhishek; Banerji, P. K.

Wavelet transform of \(L_{c,d}\)-space. (English) Zbl 1400.46035

Integral Transforms Spec. Funct. 29, No. 6, 431-441 (2018).

MSC: 46F12 65T60 42C40 46F10

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Cluckers, Raf; Halupczok, Immanuel; Loeser, François; Raibaut, Michel

Distributions and wave front sets in the uniform non-archimedean setting. (English) Zbl 1409.35010

Trans. Lond. Math. Soc. 5, No. 1, 97-131 (2018).

Reviewer: Peter Petrov (Maceio)

MSC: 35A18 14E18 11S80 03C10 11U09

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Xue, Huajian

Homogeneous distributions on finite dimensional vector spaces. (English) Zbl 1387.22018

J. Lie Theory 28, No. 1, 33-41 (2018).

Reviewer: Chao-Ping Dong (Changsha)

MSC: 22E50

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Guo, Yong; Li, Bing-Zhao

The linear canonical wavelet transform on some function spaces. (English) Zbl 1397.46033

Int. J. Wavelets Multiresolut. Inf. Process. 16, No. 1, Article ID 1850010, 16 p. (2018).

MSC: 46F12 46F05 46E35

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Prasad, Akhilesh; Singh, Manoj Kumar

Pseudo-differential operators involving fractional Fourier cosine (sine) transform. (English) Zbl 1488.46077

Filomat 31, No. 6, 1791-1801 (2017).

MSC: 46F12 35S05

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Giordano, Paolo; Kunzinger, Michael

Inverse function theorems for generalized smooth functions. (English) Zbl 1394.46034

Oberguggenberger, Michael (ed.) et al., Generalized functions and Fourier analysis. Dedicated to Stevan Pilipović on the occasion of his 65th birthday. Contributions of the 8th, 9th and 10th ISAAC congresses, Moscow, Russia, 2011, Krakow, Poland, 2013 and Macau, China, 2015. Basel: Birkhäuser/Springer (ISBN 978-3-319-51910-4/hbk; 978-3-319-51911-1/ebook). Operator Theory: Advances and Applications 260. Advances in Partial Differential Equations, 95-114 (2017).

MSC: 46F30 46-02

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Prasad, Akhilesh; Singh, Manoj Kumar

Integral representations of pseudo-differential operator associated with the Jacobi differential operator. (English) Zbl 1398.35307

Rend. Circ. Mat. Palermo (2) 66, No. 3, 325-336 (2017).

MSC: 35S05 35C15 46F12

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Lucyshyn-Wright, Rory B. B.

Functional distribution monads in functional-analytic contexts. (English) Zbl 1402.46052

Adv. Math. 322, 806-860 (2017).

Reviewer: Sven-Ake Wegner (Middlesbrough)

MSC: 46M15 46E27 46F99 18C10 18C15 18C20 18D15 18D20 52A01 46M99 06A11

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Fleifel, Kamel K.; Al-Omari, Shrideh K.

Some approach to a generalized Hartley transform pair in the class of generalized functions. (English) Zbl 1392.46039

Far East J. Math. Sci. (FJMS) 101, No. 7, 1533-1545 (2017).

Reviewer: John Schmeelk (Henrico)

MSC: 46F12

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Elazar, Boaz

Schwartz functions on quasi-Nash varieties. arXiv:1711.05804

Preprint, arXiv:1711.05804 [math.AG] (2017).

MSC: 14P99 14P10 46A11 46F99

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Jakšić, Smiljana; Pilipović, Stevan; Prangoski, Bojan

Spaces of ultradistributions of Beurling type over \(\mathbb{R}^d_+\) through Laguerre expansions. (English) Zbl 1424.46057

Sarajevo J. Math. 12(25), No. 2, Suppl., 385-399 (2016).

MSC: 46F05 46F12 33C45 42B10 44A15 47G10 47G30 35S05

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Vasilyanskaya, V. S.; Volchkov, Vit. V.

Analogs of the spherical transform in the hyperbolic plane. (English. Russian original) Zbl 1490.46041

Ukr. Math. J. 68, No. 4, 526-544 (2016); translation from Ukr. Mat. Zh. 68, No. 4, 469-484 (2016).

MSC: 46F12 43A40

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Li, Fei; Yuan, Min

Study on the source of Schwartz’s monograph Théorie des distributions. (Chinese. English summary) Zbl 1363.01009

J. Northwest Univ., Nat. Sci. Ed. 46, No. 3, 464-468 (2016).

MSC: 01A60 46-03

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Prasad, Akhilesh; Kumar, Praveen

The continuous fractional wavelet transform on a generalized Sobolev space. (English) Zbl 1364.46033

Int. J. Wavelets Multiresolut. Inf. Process. 14, No. 6, Article ID 1650046, 10 p. (2016).

MSC: 46E35 46F12

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Lyakhov, L. N.; Polovinkina, Marina V.; Shishkina, E. L.

Accompanying distributions of singular differential operators. (English. Russian original) Zbl 1369.46034

J. Math. Sci., New York 219, No. 2, 184-189 (2016); translation from Probl. Mat. Anal. 86, 13-17 (2016).

MSC: 46F12 47F05

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Prasad, Akhilesh; Kumar, Praveen

Pseudo-differential operator associated with the fractional Fourier transform. (English) Zbl 1351.46038

Math. Commun. 21, No. 1, 115-126 (2016).

Reviewer: Boris Rubin (Baton Rouge)

MSC: 46F12 35S05 42A85 46A16

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Keyl, M.; Kiukas, J.; Werner, R. F.

Schwartz operators. (English) Zbl 1361.47010

Rev. Math. Phys. 28, No. 3, Article ID 1630001, 60 p. (2016).

Reviewer: Miyeon Kwon (Platteville)

MSC: 47B99 46F99 81Q10 46N50 46L52

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Pathak, R. S.; Singh, Abhishek

Wavelet transform of generalized functions in \(K'\{M_p\}\) spaces. (English) Zbl 1351.46036

Proc. Indian Acad. Sci., Math. Sci. 126, No. 2, 213-226 (2016).

Reviewer: Deshna Loonker (Jodhpur)

MSC: 46F12 42C40 44A35

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Simon, Barry

Real analysis. A comprehensive course in analysis, part 1. (English) Zbl 1332.00003

Providence, RI: American Mathematical Society (AMS) (ISBN 978-1-4704-1099-5/hbk). xx, 789 p. (2015).

Reviewer: Teodora-Liliana Rădulescu (Craiova)

MSC: 00-01 26-01 00A05 28-01 42-01 46-01 54-01

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Giordano, Paolo; Wu, Enxin

Categorical frameworks for generalized functions. (English) Zbl 1345.46062

Arab. J. Math. 4, No. 4, 301-328 (2015).

Reviewer: Deshna Loonker (Jodhpur)

MSC: 46T30 46F25 46F30 58D10 58D99

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Homei, Hazhir

A novel extension of randomly weighted averages. (English) Zbl 1416.62110

Stat. Pap. 56, No. 4, 933-946 (2015).

MSC: 62E10 60E05

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Prasad, Akhilesh; Kumar, Praveen

The continuous fractional wavelet transform on generalized weighted Sobolev spaces. (English) Zbl 1347.46028

Asian-Eur. J. Math. 8, No. 3, Article ID 1550054, 11 p. (2015).

MSC: 46E35 46F12 46F05

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Estrada, Ricardo

Diagonal spherical means. (English) Zbl 1338.46051

Integral Transforms Spec. Funct. 26, No. 10, 796-811 (2015).

Reviewer: P. K. Banerji (Jodhpur)

MSC: 46F10 46F12 44A12 92C55 65R32

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Kozma, Gady; Olevskii, Alexander

Singular distributions and symmetry of the spectrum. (English) Zbl 1333.42001

Gröchenig, Karlheinz (ed.) et al., Operator-related function theory and time-frequency analysis. The Abel symposium 2012, Oslo, Norway, August 20–24, 2012. Cham: Springer (ISBN 978-3-319-08556-2/hbk; 978-3-319-08557-9/ebook). Abel Symposia 9, 107-116 (2015).

Reviewer: Vladimir V. Peller (East Lansing)

MSC: 42-02 42A16

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Kawazoe, Takeshi

Inversion formula for the discrete Radon transform. (English) Zbl 1329.44001

Tokyo J. Math. 38, No. 1, 175-191 (2015).

Reviewer: Deshna Loonker (Jodhpur)

MSC: 44A12 46F12

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Bhowmick, Abhishek; Lovett, Shachar

The list decoding radius of Reed-Muller codes over small fields. (English) Zbl 1321.94120

Proceedings of the 47th annual ACM symposium on theory of computing, STOC ’15, Portland, OR, USA, June 14–17, 2015. New York, NY: Association for Computing Machinery (ACM) (ISBN 978-1-4503-3536-2). 277-285 (2015).

MSC: 94B05 94B35

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Bru, J.-B.; de Siqueira Pedra, W.; Hertling, C.

Microscopic conductivity of lattice fermions at equilibrium. I: Non-interacting particles. (English) Zbl 1322.82015

J. Math. Phys. 56, No. 5, 051901, 51 p. (2015).

Reviewer: Claudia-Veronika Meister (Darmstadt)

MSC: 82C70 82D25 78A35 78A25 46F10 42A38 44A15

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Talvila, Erik

The one-dimensional heat equation in the Alexiewicz norm. (English) Zbl 1515.35111

Adv. Pure Appl. Math. 6, No. 1, 13-37 (2015).

MSC: 35K05 35K15 26A39 46F05 46F10 46G12

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Ahuja, Gopi; Singh, Alka

A study of generalized extended Hankel transformations. (English) Zbl 1524.46054

Gaṇita 63(2012), 85-91 (2014).

MSC: 46F12 44A15 47B35

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Afendras, Giorgos; Papathanasiou, Vassilis

A note on a variance bound for the multinomial and the negative multinomial distribution. (English) Zbl 1411.60030

Nav. Res. Logist. 61, No. 3, 179-183 (2014).

MSC: 60E15 62E15

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Talvila, Erik

The \(L^p\) primitive integral. (English) Zbl 1349.46031

Math. Slovaca 64, No. 6, 1497-1524 (2014).

MSC: 46E30 46F05 46F10 46G12

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Sidorov, Denis N.

Generalized solution to the Volterra equations with piecewise continuous kernels. (English) Zbl 1314.45004

Bull. Malays. Math. Sci. Soc. (2) 37, No. 3, 757-768 (2014).

Reviewer: Martin Väth (Prague)

MSC: 45D05 45A05

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Nielsen, Lance

A distributional approach to Feynman’s operational calculus. (English) Zbl 1306.46044

New York J. Math. 20, 377-398 (2014).

Reviewer: Gert Roepstorff (Aachen)

MSC: 46F10 46F12 47B48 47B38

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Gibson, Peter C.; Lamoureux, Michael P.; Margrave, Gary F.

Representation of linear operators by Gabor multipliers. (English) Zbl 1322.42017

Andrews, Travis D. (ed.) et al., Excursions in harmonic analysis. Volume 2. The February Fourier Talks at the Norbert Wiener Center, College Park, MD, USA, 2006–2011. New York, NY: Birkhäuser/Springer (ISBN 978-0-8176-8378-8/hbk; 978-0-8176-8379-5/ebook). Applied and Numerical Harmonic Analysis, 229-250 (2013).

Reviewer: Javier Soria (Barcelona)

MSC: 42B15 42B10 46F12 47B38

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Kozma, Gady; Olevskiĭ, Alexander

Distributions singulières, dimension du support et symétrie de la transformation de Fourier. (Singular distributions, dimension of support, and symmetry of Fourier transform.) (English. French summary) Zbl 1307.42004

Ann. Inst. Fourier 63, No. 4, 1205-1226 (2013).

Reviewer: K. Parthasarathy (Chennai)

MSC: 42A38 42A50 42A63 42A20 28A78 28A80

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He, Jianxun; Liang, Yanbing

The characterization of the Radon transform associated with the classical domain of type one. (English) Zbl 1289.44002

J. Guangzhou Univ., Nat. Sci. 12, No. 1, 1-6 (2013).

MSC: 44A12 46F12

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Boggiatto, Paolo; Carypis, Evanthia; Oliaro, Alessandro

Windowed-Wigner representations in the Cohen class and uncertainty principles. (English) Zbl 1279.42008

J. Geom. Anal. 23, No. 4, 1753-1779 (2013).

Reviewer: Manfred Tasche (Rostock)

MSC: 42B10 47A07 46F12

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Juric, Željko; Šiljak, Harun

Weak limits and their calculation in analog signal theory. (English) Zbl 1328.94020

COMPEL 32, No. 3, Article ID 17086573, 1009-1029 (2013).

MSC: 94A12 46F10

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Zharinov, V. V.

Cohomologies of spaces of Schwartz distributions. (English. Russian original) Zbl 1290.46031

Theor. Math. Phys. 172, No. 1, 879-884 (2012); translation from Teor. Mat. Fiz. 172, No. 1, 3-8 (2012).

MSC: 46F05 46M20

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Zharinov, V. V.

Cohomologies of spaces of Schwartz test functions. (English. Russian original) Zbl 1287.46036

Theor. Math. Phys. 170, No. 3, 263-273 (2012); translation from Teor. Mat. Fiz. 170, No. 3, 323-334 (2012).

Reviewer: Denis Sidorov (Irkutsk)

MSC: 46F05 46M20

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Sharyn, Sergii

Fourier transformation in the algebra of polynomial Schwartz tempered distributions. (Ukrainian. English summary) Zbl 1265.46060

Mat. Visn. Nauk. Tov. Im. Shevchenka 9, 366-374 (2012).

MSC: 46F25 46G25

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Sardanashvily, G.

Differential operators on Schwartz distributions. (English) Zbl 1267.46057

Int. J. Geom. Methods Mod. Phys. 9, No. 7, Paper No. 1250062, 13 p. (2012).

Reviewer: Miroslav Doupovec (Brno)

MSC: 46F99 58A20 58A25

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Abouelaz, A.; Kawazoe, T.

Characterizations of function spaces by the discrete Radon transform. (English) Zbl 1270.44001

Integral Transforms Spec. Funct. 23, No. 9, 627-637 (2012).

Reviewer: Lillian Beatrix Pierce (Bonn)

MSC: 44A12 46F12

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Homei, H.

Randomly weighted averages with beta random proportions. (English) Zbl 1282.60015

Stat. Probab. Lett. 82, No. 8, 1515-1520 (2012).

MSC: 60E05 60E10 62E10

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Alpay, Daniel; Attia, Haim; Levanony, David

White noise based stochastic calculus associated with a class of Gaussian processes. (English) Zbl 1255.60117

Opusc. Math. 32, No. 3, 401-422 (2012).

Reviewer: Jacques Franchi (Strasbourg)

MSC: 60H40 60H05 60G15 60G22 46A11

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Talvila, Erik

Fourier series with the continuous primitive integral. (English) Zbl 1246.42003

J. Fourier Anal. Appl. 18, No. 1, 27-44 (2012).

MSC: 42A16 46F10

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Bhattacharyya, Pulin Kumar

Distributions. Generalized functions with applications in Sobolev spaces. (English) Zbl 1251.46001

De Gruyter Textbook. Berlin: de Gruyter (ISBN 978-3-11-026927-7/pbk; 978-3-11-026929-1/ebook). xxxviii, 833 p. (2012).

Reviewer: Denise Huet (Nancy)

MSC: 46-01 46Fxx 46F05 46F10 46F12 46E35 35-01 35J40

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Chen, Wengu; Miao, Changxing; Yao, Xiaohua

Dispersive estimates with geometry of finite type. (English) Zbl 1248.35033

Commun. Partial Differ. Equations 37, No. 1-3, 479-510 (2012).

Reviewer: Chuangan Hu (Palo Alto)

MSC: 35B45 35G16 47F05 42B10

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Sharyn, Sergij

Shift semigroups in the algebra of polynomial Schwartz tempered distributions. (Ukrainian. English summary) Zbl 1265.46061

Mat. Visn. Nauk. Tov. Im. Shevchenka 8, 230-242 (2011).

MSC: 46F25 46G25

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Roopkumar, R.

Extended ridgelet transform on distributions and Boehmians. (English) Zbl 1250.46027

Asian-Eur. J. Math. 4, No. 3, 507-521 (2011).

Reviewer: P. K. Banerji (Jodhpur)

MSC: 46F12 44A15 44A35 42C40 42A85

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Homei, Hajir; Darbandi, Monireh Hamel; Darbandi, Aziz Hamel

General two-sided power distribution. (English) Zbl 1279.60029

Far East J. Theor. Stat. 37, No. 1, 57-70 (2011).

MSC: 60E05 62E10 62E15

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Al-Omari, S. K. Q.; Kılıçman, A.

On diffraction Fresnel transforms for Boehmians. (English) Zbl 1243.46032

Abstr. Appl. Anal. 2011, Article ID 712746, 11 p. (2011).

MSC: 46F12

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Maneetus, Darunee; Nonlaopon, Kamsing

On the inversion of Bessel ultrahyperbolic kernel of Marcel Riesz. (English) Zbl 1244.46018

Abstr. Appl. Anal. 2011, Article ID 419157, 13 p. (2011).

MSC: 46F12 35R99

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Lopushansky, O. V.; Sharyn, S. V.; Solomko, A. V.

Vector-valued functional calculus for a convolution algebra of distributions on cone. (English. Russian summary) Zbl 1250.46025

Mat. Stud. 35, No. 1, 78-90 (2011).

Reviewer: Adem Kilicman (Serdang Selangor)

MSC: 46F12 46H30

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Pandey, J. N.

Wavelet transforms of Schwartz distributions. (English) Zbl 1238.42020

J. Comput. Anal. Appl. 13, No. 1, 47-83 (2011).

Reviewer: Lihua Yang (Guangzhou)

MSC: 42C40 42C15 46F12

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Lee, Eun Gu; Chung, Jaeyoung

On the Hyers-Ulam-Rassias stability of the Jensen equation in distributions. (English) Zbl 1242.39043

Commun. Korean Math. Soc. 26, No. 2, 261-271 (2011).

Reviewer: Prasanna Sahoo (Louisville)

MSC: 39B82 46F10 39B52 39B62

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Alesker, S.; Artstein-Avidan, S.; Faifman, D.; Milman, V.

A characterization of product preserving maps with applications to a characterization of the Fourier transform. (English) Zbl 1272.42004

Ill. J. Math. 54, No. 3, 1115-1132 (2010).

Reviewer: Vjekoslav Kovač (Zagreb)

MSC: 42A38

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Waphare, B. B.

Generalized Hankel-Schwartz type transformations on \(L^\prime_{p,\nu}\) spaces of distributions. (English) Zbl 1255.46020

Int. J. Math. Anal., Ruse 4, No. 49-52, 2515-2523 (2010).

Reviewer: Lakshmi Shanker Dube (Québec)

MSC: 46F12

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Malgonde, S. P.

On a distributional finite integral transform of first kind with \(q\)-dimensional Bessel function as kernel. (English) Zbl 1298.33025

Rev. Acad. Canar. Cienc. 21(2009), No. 1-2, 25-40 (2010).

Reviewer: P. K. Banerji (Jodhpur)

MSC: 33C99 46F10 46F12

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Zhao, Xi; Yang, Baohe; Zhao, Shusong

Cardinality structure of strong interaction quantum field. (Chinese. English summary) Zbl 1222.81206

J. Xinyang Norm. Univ., Nat. Sci. 23, No. 2, 208-210 (2010).

MSC: 81T05 81P05 81Sxx 54A25

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Gorodets’kyj, V. V.; Tupkalo, I. S.

Multipoint problem for the evolutionary singular equations of the infinite order. (Ukrainian. English summary) Zbl 1223.47113

Nauk. Visn. Chernivets’kogo Univ., Mat. 528, 27-35 (2010).

MSC: 47J35 34B10

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Oka, Yasuyuki

On the Weyl transform with symbol in the Gel’fand-Shilov space and its dual space. (English) Zbl 1225.46038

Cubo 12, No. 3, 241-253 (2010).

Reviewer: Dohan Kim (Seoul)

MSC: 46F12 46F05 46F15

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Nicolae, Florin; Verjovsky, Alberto

Discrete Schwartz distributions and the Riemann zeta-function. (English) Zbl 1225.11110

Bull. Braz. Math. Soc. (N.S.) 41, No. 2, 211-221 (2010).

Reviewer: Florin Nicolae (Berlin)

MSC: 11M26 11N37

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Cobb, Daniel

Eigenvalue conditions for convergence of singularly perturbed matrix exponential functions. (English) Zbl 1227.15010

SIAM J. Control Optim. 48, No. 7, 4327-4351 (2010).

Reviewer: Edgar Pereira (Covilha)

MSC: 15A16 65F15 15A18 46F10

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Found 325 Documents (Results 1–100)

Wavelet transform on generalized quotient spaces and its applications. (English) Zbl 07907659

The «materialization» of forces: why confounding mathematical concept and physical entity makes the design of metamaterials arduous. (English) Zbl 1541.74003

Inverse problem on determining many unknowns from Schwartz-type distributions. (Ukrainian. English summary) Zbl 07799296

Inverse problem for a time-fractional differential equation with a time- and space-integral conditions. (English) Zbl 1532.35529

Multiplicity one theorems for the generalized doubling method (with an appendix by Avraham Aizenbud and Dmitry Gourevitch). (English) Zbl 1527.22024

Sato hyperfunctions via relative Dolbeault cohomology. (English) Zbl 1510.32008

Fractional Hankel wavelet transform on the Schwartz type space. (English) Zbl 1507.46034

Almost positive kernels on compact Riemannian manifolds. (English) Zbl 1497.58007

On the space of Schwartz operators in the symmetric Fock space and its dual. (English. Russian original) Zbl 07584683

Weak approximation of SDEs for tempered distributions and applications. (English) Zbl 1498.60189

On properties of functions invertible in the sense of Ehrenpreis in the Schwartz algebra. (English) Zbl 1499.30241

Pseudo-differential operator associated with quadratic-phase Fourier transform. (English) Zbl 1501.46040

Analysis paths. Volume 1. Schwartz space, tempered distributions and Fourier transformation. (Chemins d’analyse. Tome 1. Espace de Schwartz, distributions tempérées et transformation de Fourier.) (French) Zbl 1485.46001

Asymptotic series of a general symbol and pseudo-differential operators involving the Kontorovich-Lebedev transform. (English) Zbl 1494.44005

Paley-Wiener-Schwartz type theorem for ultradistributions on an unbounded closed convex set. (English. Russian original) Zbl 1484.46047

Distributions of anisotropic order and applications to H-distributions. (English) Zbl 1477.42010

Inverse problems for a time fractional diffusion equation in the Schwartz-type distributions. (English) Zbl 1470.80009

On conditions of invertibility in the sense of Ehrenpreis in the Schwartz algebra. (English) Zbl 1479.46049

Abelian theorems and Calderón’s reproducing formula for linear canonical wavelet transform. (English) Zbl 1477.46046

Wave packet transform and fractional wave packet transform of rapidly decreasing functions. (English) Zbl 1472.44003

Infinite-dimensional linear algebra and solvability of partial differential equations. (English) Zbl 1465.35109

A new class of pseudo-differential operators involving linear canonical transform. (English) Zbl 1477.46048

Generalized Schwartz type spaces and LCT based pseudodifferential operator. (English) Zbl 1456.35249

Stochastic square of the Brennan-Schwartz diffusion process: statistical computation and application. (English) Zbl 1448.62139

Algebraic and differential properties of polynomial Fourier transformation. (English) Zbl 1452.46032

A course in analysis. Vol. V: Functional analysis, some operator theory, theory of distributions. (English) Zbl 1456.46001

Real Paley-Wiener theorems in spaces of ultradifferentiable functions. (English) Zbl 1439.46032

Approximation of linear canonical wavelet transform on the generalized Sobolev spaces. (English) Zbl 1430.43003

Directional short-time Fourier transform and quasiasymptotics of distributions. (English. Russian original) Zbl 1443.46026

Fractional Fourier transformation of Schwartz test functions. (English) Zbl 1443.46025

Continuous wavelet transform of Schwartz distributions. (English) Zbl 1428.42074

Characterizations of certain Hankel transform involving Riemann-Liouville fractional derivatives. (English) Zbl 1449.42009

Continuous wavelet transform of Schwartz tempered distributions in \(S^\prime (\mathbb{R}^n)\). (English) Zbl 1416.46043

Tempered distributions and Fourier transform on the Heisenberg group. (Distributions tempérées et transformation de Fourier sur le groupe de Heisenberg.) (English) Zbl 1422.43006

Schwartz functions on real algebraic varieties. (English) Zbl 1445.14078

Discrete translates in function spaces. (English) Zbl 1413.42011

Wavelet transform of \(L_{c,d}\)-space. (English) Zbl 1400.46035

Distributions and wave front sets in the uniform non-archimedean setting. (English) Zbl 1409.35010

Homogeneous distributions on finite dimensional vector spaces. (English) Zbl 1387.22018

The linear canonical wavelet transform on some function spaces. (English) Zbl 1397.46033

Pseudo-differential operators involving fractional Fourier cosine (sine) transform. (English) Zbl 1488.46077

Inverse function theorems for generalized smooth functions. (English) Zbl 1394.46034

Integral representations of pseudo-differential operator associated with the Jacobi differential operator. (English) Zbl 1398.35307

Functional distribution monads in functional-analytic contexts. (English) Zbl 1402.46052

Some approach to a generalized Hartley transform pair in the class of generalized functions. (English) Zbl 1392.46039

Schwartz functions on quasi-Nash varieties. arXiv:1711.05804

Spaces of ultradistributions of Beurling type over \(\mathbb{R}^d_+\) through Laguerre expansions. (English) Zbl 1424.46057

Analogs of the spherical transform in the hyperbolic plane. (English. Russian original) Zbl 1490.46041

Study on the source of Schwartz’s monograph Théorie des distributions. (Chinese. English summary) Zbl 1363.01009

The continuous fractional wavelet transform on a generalized Sobolev space. (English) Zbl 1364.46033

Accompanying distributions of singular differential operators. (English. Russian original) Zbl 1369.46034

Pseudo-differential operator associated with the fractional Fourier transform. (English) Zbl 1351.46038

Schwartz operators. (English) Zbl 1361.47010

Wavelet transform of generalized functions in \(K'\{M_p\}\) spaces. (English) Zbl 1351.46036

Real analysis. A comprehensive course in analysis, part 1. (English) Zbl 1332.00003

Categorical frameworks for generalized functions. (English) Zbl 1345.46062

A novel extension of randomly weighted averages. (English) Zbl 1416.62110

The continuous fractional wavelet transform on generalized weighted Sobolev spaces. (English) Zbl 1347.46028

Diagonal spherical means. (English) Zbl 1338.46051

Singular distributions and symmetry of the spectrum. (English) Zbl 1333.42001

Inversion formula for the discrete Radon transform. (English) Zbl 1329.44001

The list decoding radius of Reed-Muller codes over small fields. (English) Zbl 1321.94120

Microscopic conductivity of lattice fermions at equilibrium. I: Non-interacting particles. (English) Zbl 1322.82015

The one-dimensional heat equation in the Alexiewicz norm. (English) Zbl 1515.35111

A study of generalized extended Hankel transformations. (English) Zbl 1524.46054

A note on a variance bound for the multinomial and the negative multinomial distribution. (English) Zbl 1411.60030

The \(L^p\) primitive integral. (English) Zbl 1349.46031

Generalized solution to the Volterra equations with piecewise continuous kernels. (English) Zbl 1314.45004

A distributional approach to Feynman’s operational calculus. (English) Zbl 1306.46044

Representation of linear operators by Gabor multipliers. (English) Zbl 1322.42017

Distributions singulières, dimension du support et symétrie de la transformation de Fourier. (Singular distributions, dimension of support, and symmetry of Fourier transform.) (English. French summary) Zbl 1307.42004

The characterization of the Radon transform associated with the classical domain of type one. (English) Zbl 1289.44002

Windowed-Wigner representations in the Cohen class and uncertainty principles. (English) Zbl 1279.42008

Weak limits and their calculation in analog signal theory. (English) Zbl 1328.94020