Found 241 Documents (Results 1–100)
Multiplication and convolution topological algebras in spaces of \(\omega\)-ultradifferentiable functions of Beurling type. (English) Zbl 07910299
Candela, Anna Maria (ed.) et al., Recent advances in mathematical analysis. Celebrating the 70th anniversary of Francesco Altomare. Based on the presentations at the international conference, ReDiMA 2021, Bari, Italy, September 23–24, 2021. Cham: Birkhäuser. Trends Math., 37-56 (2023).
On invertibility of Duhamel operator in spaces of ultradifferentiable functions. (Russian. English summary) Zbl 07863375
Ufim. Mat. Zh. 15, No. 4, 61-74 (2023); translation in Ufa Math. J. 15, No. 4, 62-75 (2023).
Invariant subspaces in nonquasianalytic spaces of \(\Omega \)-ultradifferentiable functions on an interval. (English. Russian original) Zbl 07858833
Russ. Math. 67, No. 11, 75-79 (2023); translation from Izv. Vyssh. Uchebn. Zaved., Mat. 2023, No. 11, 86-91 (2023).
Quasianalytic functionals and ultradistributions as boundary values of harmonic functions. (English) Zbl 1527.31011
Kernel theorems for Beurling-Björck type spaces. (English) Zbl 1528.46002
Reviewer: Antonio Galbis (València)
On generalized definitions of ultradifferentiable classes. (English) Zbl 1530.46036
Reviewer: Rüdiger W. Braun (Düsseldorf)
The Wigner global wave front set in spaces of tempered ultradistributions. (English) Zbl 1518.35020
Reviewer: Luigi Rodino (Torino)
Norm estimates for the pseudo-differential operator involving fractional Hankel-like transform on \(\mathcal{S}\)-type spaces. (English) Zbl 1538.47079
On the projective description of spaces of ultradifferentiable functions of Roumieu type. (English) Zbl 07819126
Cerejeiras, Paula (ed.) et al., Current trends in analysis, its applications and computation. Proceedings of the 12th ISAAC congress, Aveiro, Portugal, July 29 – August 3, 2019. Cham: Birkhäuser. Trends Math., 363-372 (2022).
On the equivalence between moderate growth-type conditions in the weight matrix setting. (English) Zbl 1541.46010
Differentiation operator in the Beurling space of ultradifferentiable functions of normal type on an interval. (English) Zbl 1519.46016
Reviewer: Rüdiger W. Braun (Düsseldorf)
Ultradifferentiable extension theorems: a survey. (English) Zbl 1507.26033
Reviewer: Sergei V. Rogosin (Minsk)
The theorem of iterates for elliptic and non-elliptic operators. (English) Zbl 1493.35003
Reviewer: Luigi Rodino (Torino)
On the moment problem in the spaces of ultradifferentiable functions of mean type. (English. Russian original) Zbl 1493.46038
Sib. Math. J. 63, No. 2, 336-347 (2022); translation from Sib. Mat. Zh. 63, No. 2, 404-417 (2022).
Reviewer: David Nicolas Nenning (Wien)
Nonlinear conditions for ultradifferentiability: a uniform approach. (English) Zbl 1487.26061
Reviewer: Sergei V. Rogosin (Minsk)
On the maximal extension in the mixed ultradifferentiable weight sequence setting. (English) Zbl 1496.26042
Global wave front sets in ultradifferentiable classes. (English) Zbl 1487.35013
Reviewer: Luigi Rodino (Torino)
Equality of ultradifferentiable classes by means of indices of mixed O-regular variation. (English) Zbl 1484.46031
Reviewer: Antonio Galbis (Valencia)
On the Fourier-Laplace transform of functionals on a space of infinitely differentiable functions on a convex compact. (English) Zbl 1490.46040
Reviewer: Christian Bargetz (Innsbruck)
On the continuous linear right inverse for a convolution operator. (English) Zbl 1490.44006
Kusraev, Anatoly G. (ed.) et al., Operator theory and differential equations. Selected papers based on the presentations at the 15th conference on order analysis and related problems of mathematical modeling, Vladikavkaz, Russia, July 15–20, 2019. Cham: Birkhäuser. Trends Math., 163-184 (2021).
On the ultradifferentiable normalization. (English) Zbl 1484.34100
Reviewer: Hao Wu (Nanjing)
Estimates of pseudo-differential operators associated with fractional Hankel transform on the space of type S. (English) Zbl 1482.46046
Reviewer: Nenad Teofanov (Novi Sad)
Convolutors on \(\mathcal{S}_{\omega}(\mathbb{R}^N)\). (English) Zbl 1484.46030
Rev. R. Acad. Cienc. Exactas Fís. Nat., Ser. A Mat., RACSAM 115, No. 4, Paper No. 157, 24 p. (2021).
Reviewer: Rüdiger W. Braun (Düsseldorf)
Multipliers on \(\mathcal{S}_{\omega } (\mathbb{R}^N)\). (English) Zbl 1484.46029
Reviewer: Rüdiger W. Braun (Düsseldorf)
Nuclearity of rapidly decreasing ultradifferentiable functions and time-frequency analysis. (English) Zbl 1472.46044
Reviewer: José Bonet (Valencia)
Pseudodifferential operators involving linear canonical Hankel transformations on some ultradifferentiable function spaces. (English) Zbl 1480.46054
Spectrum of the Cesàro operator on the ultradifferentiable function spaces \(\mathcal{E}_\omega (\mathbb{R}_+)\). (English) Zbl 1514.47058
Reviewer: Thomas Kalmes (Chemnitz)
Regularity of global solutions of partial differential equations in non isotropic ultradifferentiable spaces via time-frequency methods. (English) Zbl 1489.46046
Reviewer: John Schmeelk (Henrico)
Ultradifferentiable Chevalley theorems and isotropic functions. (English) Zbl 07326830
Reviewer: Sergei V. Rogosin (Minsk)
Nuclear global spaces of ultradifferentiable functions in the matrix weighted setting. (English) Zbl 1472.46043
Reviewer: Angela Albanese (Lecce)
Factorization in Denjoy-Carleman classes associated to representations of \((\mathbb{R}^d, +)\). (English) Zbl 1456.46039
Reviewer: José Bonet (Valencia)
MSC:
46F05
Sectorial extensions for ultraholomorphic classes defined by weight functions. (English) Zbl 1526.30049
FBI transform characterization of ultradifferentiablity on maximally real submanifolds. (English) Zbl 1457.42020
Characterization of nuclearity for Beurling-Björck spaces. (English) Zbl 1477.46028
Reviewer: Rüdiger W. Braun (Düsseldorf)
Spaces of ultradifferentiable functions of multi-anisotropic type. (English) Zbl 1445.46024
Boggiatto, Paolo (ed.) et al., Advances in microlocal and time-frequency analysis. Contributions of the conference on microlocal and time-frequency analysis 2018, MLTFA18, in honor of Prof. Luigi Rodino on the occasion of his 70th birthday, Torino, Italy, July 2–6, 2018. Cham: Birkhäuser. Appl. Numer. Harmon. Anal., 131-144 (2020).
Reviewer: José Bonet (Valencia)
About the nuclearity of \(\mathcal{S}_{(M_p)}\) and \(\mathcal{S}_{\omega}\). (English) Zbl 1457.46052
Boggiatto, Paolo (ed.) et al., Advances in microlocal and time-frequency analysis. Contributions of the conference on microlocal and time-frequency analysis 2018, MLTFA18, in honor of Prof. Luigi Rodino on the occasion of his 70th birthday, Torino, Italy, July 2–6, 2018. Cham: Birkhäuser. Appl. Numer. Harmon. Anal., 121-129 (2020).
A Paley-Wiener theorem in extended Gevrey regularity. (English) Zbl 1448.46034
Reviewer: Bojan Prangoski (Skopje)
On the construction of large algebras not contained in the image of the Borel map. (English) Zbl 1442.46020
Reviewer: José Bonet (Valencia)
The surjectivity of the Borel mapping in the mixed setting for ultradifferentiable ramification spaces. (English) Zbl 1462.26033
Reviewer: Armin Rainer (Wien)
General solution of the homogeneous convolution equation in spaces of ultradifferentiable functions. (English. Russian original) Zbl 1437.44006
St. Petersbg. Math. J. 31, No. 1, 85-105 (2020); translation from Algebra Anal. 31, No. 1, 114-142 (2019).
Dynamics of weighted composition operators on function spaces defined by local properties. (English) Zbl 1435.47015
Reviewer: José Bonet (Valencia)
On a system of linear singular partial differential equations with weight functions. (English) Zbl 1438.35106
Continuity of the fractional Hankel wavelet transform on the spaces of type S. (English) Zbl 1432.46027
Arc-smooth functions on closed sets. (English) Zbl 1411.26013
Reviewer: Sorin Gheorghe Gal (Oradea)
On the extension of Whitney ultrajets. (English) Zbl 1411.26022
Reviewer: George Stoica (Saint John)
On a particular solution of a nonhomogeneous convolution equation in spaces of ultradifferentiable functions. (Russian. English summary) Zbl 1463.44009
Regularities for a new class of spaces between distributions and ultradistributions. (English) Zbl 1438.46048
On quasianalytic classes of Gelfand-Shilov type. Parametrix and convolution. (English. French summary) Zbl 1415.46028
Reviewer: Christian Bargetz (Innsbruck)
Optimal embeddings of ultradistributions into differential algebras. (English) Zbl 1403.46033
Reviewer: Michael Kunzinger (Wien)
How far is the Borel map from being surjective in quasianalytic ultradifferentiable classes? (English) Zbl 1398.46031
MSC:
46F05
An algebraic approach to tempered ultradistributions. (English) Zbl 1400.46033
Reviewer: Deshna Loonker (Jodhpur)
MSC:
46F05
Periodic tempered distributions of Beurling type and periodic ultradifferentiable functions with arbitrary support. (English) Zbl 1458.46028
MSC:
46F05
Generators for spaces of entire functions with a system of weighted estimates. (English. Russian original) Zbl 1388.30029
J. Math. Sci., New York 229, No. 5, 545-560 (2018); translation from Zap. Nauchn. Semin. POMI 447, 90-112 (2016).
MSC:
30D15
A simple proof of Kotake-Narasimhan theorem in some classes of ultradifferentiable functions. (English) Zbl 1386.46027
J. Pseudo-Differ. Oper. Appl. 8, No. 2, 297-317 (2017); correction ibid. 15, No. 3, Paper No. 60, 4 p. (2024).
Reviewer: Christian Bargetz (Innsbruck)
A characterization of the wave front set defined by the iterates of an operator with constant coefficients. (English) Zbl 1375.35008
Solvability of the inhomogeneous Cauchy-Riemann equation in projective weighted spaces. (English. Russian original) Zbl 1369.32026
Sib. Math. J. 58, No. 1, 142-152 (2017); translation from Sib. Mat. Zh. 58, No. 1, 185-198 (2017).
MSC:
32W05
Global hypoellipticity and simultaneous approximability in ultradifferentiable classes. (English) Zbl 1366.58007
Characterization of ultradifferentiable test functions defined by weight matrices in terms of their Fourier transform. (English) Zbl 1382.26027
Eigenfunction expansions of ultradifferentiable functions and ultradistributions in \(\mathbb R^n\). (English) Zbl 1384.46030
Reviewer: László Simon (Budapest)
Application of the functional calculus to solving of infinite dimensional heat equation. (English) Zbl 1372.35351
Iterates of systems of operators in spaces of \(\omega \)-ultradifferentiable functions. (English) Zbl 1383.35047
Beyond Gevrey regularity. (English) Zbl 1336.35098
Discrete characterizations of wave front sets of Fourier-Lebesgue and quasianalytic type. (English) Zbl 1347.35012
The exponential law for spaces of test functions and diffeomorphism groups. (English) Zbl 1346.46019
Reviewer: Helge Glöckner (Paderborn)
Solvability of inhomogeneous Cauchy-Riemann equation in spaces of functions with a system of uniform weight estimates. (English. Russian original) Zbl 1333.32039
Russ. Math. 59, No. 10, 65-69 (2015); translation from Izv. Vyssh. Uchebn. Zaved., Mat. 2015, No. 10, 77-82 (2015).
The convenient setting for ultradifferentiable mappings of Beurling- and Roumieu-type defined by a weight matrix. (English) Zbl 1337.46020
Reviewer: Antonio Galbis (Valencia)
On solutions of convolution equations in spaces of ultradifferentiable functions. (English. Russian original) Zbl 1323.44002
St. Petersbg. Math. J. 26, No. 6, 949-963 (2015); translation from Algebra Anal. 26, No. 6, 121-142 (2014).
An exotic zoo of diffeomorphism groups on \(\mathbb {R}^n\). (English) Zbl 1316.58008
Reviewer: Nicolai K. Smolentsev (Kemerovo)
On the continuous linear right inverse for convolution operators in spaces of ultradifferentiable functions. (English. Russian original) Zbl 1328.47004
Math. Notes 96, No. 4, 522-537 (2014); translation from Mat. Zametki 96, No. 4, 548-566 (2014).
Composition in ultradifferentiable classes. (English) Zbl 1318.26053
Reviewer: Vincent Thilliez (Villeneuve d’Ascq)
Hankel-Clifford transformations on some ultradifferentiable function spaces and pseudo-differential operators. (English) Zbl 1326.47058
Reviewer: Anatoly N. Kochubei (Kyïv)
Łojasiewicz ideals in Denjoy-Carleman classes. (English) Zbl 1292.26070
Reviewer: Vladimir V. Peller (East Lansing)
Solvability of convolution equations in the Beurling spaces of ultradifferentiable functions of mean type on an interval. (English. Russian original) Zbl 1278.46036
Sib. Math. J. 53, No. 3, 377-392 (2012); translation from Sib. Mat. Zh. 53, No. 3, 477-494 (2012).
Reviewer: Sergii Sharyn (Ivano-Frankivsk)
The S-transform on spaces of type S. (English) Zbl 1252.42047
Reviewer: Chrysoula G. Kokologiannaki (Patras)
An exponential-polynomial basis in the solution space of a homogeneous convolution equation in classes of ultradifferentiable functions. (Russian. English summary) Zbl 1326.44002
MSC:
44A35
Representation of solutions of convolution equations in nonquasianalytic Beurling classes of ultradifferentiable functions of mean type. (English. Russian original) Zbl 1257.30064
Russ. Math. 55, No. 6, 1-8 (2011); translation from Izv. Vyssh. Uchebn. Zaved., Mat. 2011, No. 6, 3-11 (2011).
Denjoy-Carleman differentiable perturbation of polynomials and unbounded operators. (English) Zbl 1244.26028
Non-quasianalytic curves in Fréchet spaces. (English) Zbl 1246.46038
Reviewer: David Jornet (Valencia)
Characterizing the Phragmén-Lindelöf condition for evolution on algebraic curves. (English) Zbl 1225.35156
Reviewer: José Bonet (Valencia)
Geometric characterization of interpolation in the space of Fourier-Laplace transforms of ultradistributions of Roumieu type. (English) Zbl 1218.30091
Reviewer: Gabriel Larotonda (Buenos Aires)
On some generalizations of Gevrey classes. (English) Zbl 1226.46033
Reviewer: Maria Carmen Fernandez Rosell (Valencia)
MSC:
46F05
The Phragmén Lindelöf condition for evolution for quadratic forms. (English) Zbl 1223.32020
Reviewer: Marek Jarnicki (Kraków)
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