Found 243 Documents (Results 1–100)
An analogue of the Paley-Wiener theorem for the Hankel type transform in weighted \(L^2\)-spaces. (English) Zbl 07907992
de Branges matrices and associated de Branges spaces of vector valued entire functions. arXiv:2406.15194
Preprint, arXiv:2406.15194 [math.FA] (2024).
Borel transforms of functions from a parameterized family of Hilbert spaces of entire functions. arXiv:2404.11548
Preprint, arXiv:2404.11548 [math.CV] (2024).
On a sufficient condition for the existence of unconditional bases of reproducing kernels in Fock type spaces with nonradial weights. (English) Zbl 1535.46024
Cauchy-de Branges spaces, geometry of their reproducing kernels and multiplication operators. (English) Zbl 1525.46015
A note on \(C\)-normal weighted composition operators on the Fock space in several variables. (English) Zbl 07676379
On a criterion for the existence of unconditional bases of reproducing kernels in Fock spaces with radial regular weight. (English) Zbl 1511.46018
Difference and primitive operators on the Dunkl-type Fock SPACE \(\mathscr{F}_{\alpha }(\mathbb{C}^d)\). (English) Zbl 1532.32003
Unconditional bases in radial Hilbert spaces. (English. Russian original) Zbl 1496.46009
Izv. Math. 86, No. 1, 150-168 (2022); translation from Izv. Ross. Akad. Nauk, Ser. Mat. 86, No. 1, 160-179 (2022).
Sampling in spaces of entire functions of exponential type in \(\mathbb{C}^{n + 1} \). (English) Zbl 1487.32010
Riesz bases of normalized reproducing kernels in Fock type spaces. (English) Zbl 1485.46029
Reviewer: Saeed Hashemi Sababe (Tehran)
Completeness conditions of systems of Bessel functions in weighted \(L^2\)-spaces in terms of entire functions. (English) Zbl 1496.42008
Equivalent conditions for the existence of unconditional bases of reproducing kernels in spaces of entire functions. (English) Zbl 1501.46025
Necessary condition for the existence of unconditional bases of reproducing kernels for Hilbert spaces of entire functions. (English. Russian original) Zbl 1480.46036
J. Math. Sci., New York 257, No. 5, 662-672 (2021); translation from Probl. Mat. Anal. 111, 99-107 (2021).
Reviewer: Saeed Hashemi Sababe (Tehran)
On a sufficient condition for the existence of unconditional bases of reproducing kernels in Hilbert spaces of entire functions. (English) Zbl 1471.46023
Reviewer: Saeed Hashemi Sababe (Tehran)
Functional models for entire symmetric operators in rigged de Branges Pontryagin spaces. (English) Zbl 1509.47054
Reviewer: Anatoly N. Kochubei (Kyïv)
Characterizations of Matrix Valued Asymmetric Truncated Toeplitz Operators. arXiv:2103.15719
Preprint, arXiv:2103.15719 [math.FA] (2021).
Conjugations in \(L^2(\mathcal{H})\). (English) Zbl 1496.47050
Reviewer: Mohammed El Aïdi (Bogotá)
Unconditional bases in radial Hilbert spaces. (Russian. English summary) Zbl 1474.46057
On Fourier-Laplace transform of a class of generalized functions. (Russian. English translation) Zbl 1474.32008
Ufim. Mat. Zh. 12, No. 4, 80-91 (2020); translation in Ufa Math. J., No. 4, 78-89 (2020).
Geometry of radial Hilbert spaces with unconditional bases of reproducing kernels. (Russian. English translation) Zbl 1474.46056
Ufim. Mat. Zh. 12, No. 4, 56-65 (2020); translation in Ufa Math. J., No. 4, 55-63 (2020).
Characterizations of a class of Dirichlet-type spaces and related operators. (English) Zbl 1489.46034
Invertibility, Fredholmness and kernels of dual truncated Toeplitz operators. (English) Zbl 1477.47024
Generating functions for bases in Hilbert spaces of entire functions. (English. Russian original) Zbl 1426.30045
J. Math. Sci., New York 241, No. 6, 718-726 (2019); translation from Itogi Nauki Tekh., Ser. Sovrem. Mat. Prilozh., Temat. Obz. 142, 73-80 (2017).
Strict density inequalities for sampling and interpolation in weighted spaces of holomorphic functions. (English) Zbl 1444.32002
Reviewer: Paweł Zapałowski (Kraków)
Jackson-Stechkin-type inequalities for the approximation of elements of Hilbert spaces. (English. Russian original) Zbl 1428.41012
Ukr. Math. J. 70, No. 9, 1331-1344 (2019); translation from Ukr. Mat. Zh. 70, No. 9, 1155-1165 (2018).
Reviewer: Yuri A. Farkov (Moscow)
Krein-type theorems and ordered structure for Cauchy-de Branges spaces. (English) Zbl 1471.30006
Reviewer: Ali Abkar (Qazvin)
Unconditional bases in weakly weighted spaces of entire functions. (English. Russian original) Zbl 1420.46027
St. Petersbg. Math. J. 30, No. 2, 253-265 (2019); translation from Algebra Anal. 30, No. 2, 145-162 (2018).
On some linear operators on Fock type space. (Russian. English summary) Zbl 1463.32004
Ufim. Mat. Zh. 10, No. 4, 85-91 (2018); translation in Ufa Math. J. 10, No. 4, 85-91 (2018).
Perturbation of chains of de Branges spaces. (English) Zbl 1404.46023
Reviewer: Brett Wick (St. Louis)
The Mittag Leffler reproducing kernel Hilbert spaces of entire and analytic functions. (English) Zbl 1398.30017
Reviewer: Ilie Valuşescu (Bucureşti)
On the theory of unconditional bases of Hilbert spaces formed by entire vector-functions. (English) Zbl 1397.46012
Partial Classification of Polynomials and an Orthonormal Basis Construction on the Associated Basin of Attraction. arXiv:1812.09757
Preprint, arXiv:1812.09757 [math.FA] (2018).
Analytic functions with smooth absolute value of boundary data. (Russian. English summary) Zbl 1463.30128
Ufim. Mat. Zh. 9, No. 3, 148-157 (2017); translation in Ufa Math. J. 9, No. 3, 148-157 (2017).
On a Hilbert space of entire functions. (Russian. English summary) Zbl 1463.32003
Ufim. Mat. Zh. 9, No. 3, 111-118 (2017); translation in Ufa Math. J. 9, No. 3, 109-117 (2017).
Classes of de Branges matrices and corresponding de Branges spaces. (English) Zbl 1394.46018
Colombo, Fabrizio (ed.) et al., Advances in complex analysis and operator theory. Festschrift in honor of Daniel Alpay’s 60th birthday. Contributions partly based on the presentations at the international conference on complex analysis and operator theory, Chapman University, Orange, CA, USA, November 2016. Cham: Birkhäuser/Springer (ISBN 978-3-319-62361-0/hbk; 978-3-319-62362-7/ebook). Trends in Mathematics, 1-17 (2017).
Probability method and Wiman-Valiron type estimations for differential equations. (English) Zbl 1386.34110
On unconditional bases of reproducing kernels in Fock-type spaces. (English. Russian original) Zbl 1392.46030
Funct. Anal. Appl. 51, No. 4, 283-292 (2017); translation from Funkts. Anal. Prilozh. 51, No. 4, 50-61 (2017).
Reviewer: Vakhtang V. Kvaratskhelia (Tbilisi)
Eigenvalue problems of Toeplitz operators in Bargmann-Fock spaces. (English) Zbl 06850095
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. Oper. Theory: Adv. Appl. 260, 269-276 (2017).
A fresh approach to the Paley-Wiener theorem for Mellin transforms and the Mellin-Hardy spaces. (English) Zbl 1391.44004
Reviewer: Ahmed I. Zayed (Chicago)
Composition operators on Hilbert spaces of entire functions of several variables. (English) Zbl 1495.47047
Fock-Carleson measure and Berezin transform with corresponding positive measure symbols for Fock-type spaces. (English) Zbl 1399.30159
Approximation numbers for composition operators on spaces of entire functions. (English) Zbl 1375.30031
Composition operators on Hilbert spaces of entire functions with analytic symbols. (English) Zbl 1369.32005
On unconditional exponential bases in weighted spaces on interval of real axis. (English) Zbl 1378.46014
Analytical and numerical approximation formulas on the Dunkl-type Fock spaces. (English) Zbl 1361.32004
The Bargmann transform and powers of harmonic oscillator on Gelfand-Shilov subspaces. (English) Zbl 1368.46035
Reviewer: Deshna Loonker (Jodhpur)
Translation operators on weighted spaces of entire functions. (English) Zbl 1372.47012
Reviewer: José Bonet (Valencia)
Interpolation formulas with derivatives in de Branges spaces. (English) Zbl 1367.46025
Reviewer: Boo Rim Choe (Seoul)
On unconditional exponential bases in weak weighted spaces on segment. (Russian. English summary) Zbl 1463.30009
Ufim. Mat. Zh. 8, No. 4, 90-99 (2016); translation in Ufa Math. J. 8, No. 4, 88-97 (2016).
Topological structure of the spaces of composition operators on Hilbert spaces of Dirichlet series. (English) Zbl 1362.47009
The Mellin-Parseval formula and its interconnections with the exponential sampling theorem of optical physics. (English) Zbl 1335.30008
Hilbert spaces of entire functions and composition operators. (English) Zbl 1337.30038
Reviewer: Oscar Blasco (Valencia)
On the completeness and minimality of sets of Bessel functions in weighted \(L^2\)-spaces. (English) Zbl 1463.30015
De Branges spaces and growth aspects. (English) Zbl 1347.46022
Alpay, Daniel (ed.), Operator theory. With 51 figures and 2 tables. In 2 volumes. Basel: Springer (ISBN 978-3-0348-0666-4/print; 978-3-0348-0667-1/ebook; 978-3-0348-0668-8/print+ebook; 978-3-0348-0692-3/online (updated continuously)). Springer Reference, 489-523 (2015).
Subsequences of zeros for Bernstein spaces and the completeness of systems of exponentials in spaces of functions on an interval. (English. Russian original) Zbl 1317.30004
St. Petersbg. Math. J. 26, No. 2, 319-340 (2015); translation from Algebra Anal. 26, No. 2, 185-215 (2014).
Spectral synthesis in de Branges spaces. (English) Zbl 1334.46022
Reviewer: Sergei S. Platonov (Petrozavodsk)
The exponential sampling theorem of signal analysis and the reproducing kernel formula in the Mellin transform setting. (English) Zbl 1346.94072
Parameterization of the extrapolations in the Kreĭn-Schwartz theorem and the entropy maximizer: the scalar case. (English) Zbl 1320.47010
Squeezed states and Hermite polynomials in a complex variable. (English) Zbl 1315.81053
Reviewer: Bernhard Bodmann (Houston)
Continuation of Hermitian positive definite functions and related questions. (English) Zbl 1306.47022
Reviewer: Ilie Valuşescu (Bucureşti)
Comment on ‘Solving the two-mode squeezed harmonic oscillator and the \(k\)th-order harmonic generation in Bargmann-Hilbert spaces’. (English) Zbl 1285.81034
Canonical systems and de Branges spaces. arXiv:1408.6022
Preprint, arXiv:1408.6022 [math.SP] (2014).
On a mean value theorem for non-invariant problems in the theory of analytic functions. (Russian) Zbl 1324.44003
Reviewer: Evgeny Sevost’yanov (Donetsk)
Solving the two-mode squeezed harmonic oscillator and the \(k\)th-order harmonic generation in Bargmann-Hilbert spaces. (English) Zbl 1278.81082
Remarks on multivariate Gaussian Gabor frames. (English) Zbl 1280.42028
Reviewer: S. F. Lukomskii (Saratov)
De Branges’ theorem on approximation problems of Bernstein type. (English) Zbl 1281.41005
Reviewer: Sergei S. Platonov (Petrozavodsk)
Hilbert spaces of entire Dirichlet series and composition operators. (English) Zbl 1275.47051
Reviewer: Brett Wick (Atlanta)
Analytic Kramer kernels, Lagrange-type interpolation series and de Branges spaces. (English) Zbl 1270.46022
Reviewer: Ahmed I. Zayed (Chicago)
Numerical range of composition operators on Hilbert spaces of entire Dirichlet series. (English) Zbl 1325.47012
Le Hung Son (ed.) et al., Interactions between real and complex analysis. Based on the selected lectures of the 20th international conference on finite and infinite dimensional complex analysis and applications (ICFIDCAA), Hanoi, Vietnam, July 29 – August 3, 2012. Hanoi: Science and Technics Publishing House (ISBN 978-604-67-0032-6/hbk). 285-299 (2012).
Reviewer: Tin Yau Tam (Auburn)
Inversion of the Dunkl-Hermite semigroup. (English) Zbl 1266.47062
Reviewer: Martin Grothaus (Kaiserslautern)
Systems of reproducing kernels and their biorthogonal: completeness or incompleteness? (English) Zbl 1239.46012
Reviewer: Joseph Lakey (Las Cruces)
On the range of composition operators on spaces of entire functions. (English) Zbl 1267.30070
Jarosz, Krzysztof (ed.), Function spaces in modern analysis. Sixth conference on function spaces, Edwardsville, IL, USA May 8–22, 2010. Proceedings. Providence, RI: American Mathematical Society (AMS) (ISBN 978-0-8218-5251-4/pbk). Contemporary Mathematics 547, 185-195 (2011).
Unconditional bases of de Branges spaces and interpolation problems corresponding to them. (English) Zbl 1240.46054
Reviewer: A. N. Kochubei (Kyïv)
MSC:
46E22
Multivariate Gabor frames and sampling of entire functions of several variables. (English) Zbl 1225.42022
Reviewer: Paşc Găvruţă (Timişoara)
Functional models of non-selfadjoint operators, strongly continuous semigroups, and matrix Muckenhoupt weights. (English. Russian original) Zbl 1220.47057
Izv. Math. 75, No. 2, 287-346 (2011); translation from Izv. Ross. Akad. Nauk, Ser. Mat. 75, No. 2, 69-126 (2011).
Reviewer: Yakov Yakubov (Tel-Aviv)
The sampling theorem, Poisson’s summation formula, general Parseval formula, reproducing kernel formula and the Paley-Wiener theorem for bandlimited signals – their interconnections. (English) Zbl 1217.30025
Reviewer: Vasily A. Chernecky (Odessa)
On the least possible type of entire functions of order \(\rho\in(0,1)\) with positive zeros. (English. Russian original) Zbl 1214.30015
Izv. Math. 75, No. 1, 1-27 (2011); translation from Izv. Ross. Akad. Nauk, Ser. Mat. 75, No. 1, 3-28 (2011).
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