Composition and spectral invariance of pseudodifferential Operators on Modulation Spaces

被引：0

作者：

Karlheinz Gröchenig

机构：

[1] GSF-National Research Center for Environment and Health,Institute of Biomathematics and Biometry

[2] University of Vienna,Faculty of Mathematics

来源：

Journal d’Analyse Mathématique | 2006年 / 98卷

关键词：

Banach Algebra; Pseudodifferential Operator; Modulation Space; Wigner Distribution; Symbol Class;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

We introduce new classes of Banach algebras of pseudodifferential operators with symbols in certain modulation spaces and investigate their composition and the functional calculus. Operators in these algebras possess the spectral invariance property on the associated family of modulation spaces. These results extend and contain Sjöstrand's theory, and they are obtained with new phase-space methods instead of “hard analysis”.

引用

页码：65 / 82

页数：17

共 50 条

[1] Composition and spectral invariance of pseudodifferential operators on modulation spaces
Groechenig, Karlheinz
[J]. JOURNAL D ANALYSE MATHEMATIQUE, 2006, 98 (1): : 65 - 82
[2] SPECTRAL INVARIANCE FOR PSEUDODIFFERENTIAL-OPERATORS ON WEIGHTED FUNCTION-SPACES
LEOPOLD, HG
TRIEBEL, H
[J]. MANUSCRIPTA MATHEMATICA, 1994, 83 (3-4) : 315 - 325
[3] Spectral invariance of algebras of pseudodifferential operators
Lauter, R
Monthubert, B
Nistor, V
[J]. COMPTES RENDUS MATHEMATIQUE, 2002, 334 (12) : 1095 - 1099
[4] Spectral Properties for Pseudodifferential Operators via Weighted Modulation Spaces
Askari-Hemmat, A.
Rahbani, Z.
[J]. COMMUNICATIONS IN MATHEMATICS AND APPLICATIONS, 2012, 3 (03): : 261 - 272
[5] Modulation spaces and pseudodifferential operators
Karlheinz Gröchenig
Christopher Heil
[J]. Integral Equations and Operator Theory, 1999, 34 : 439 - 457
[6] Pseudodifferential operators on modulation spaces
Labate, D
[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2001, 262 (01) : 242 - 255
[7] Modulation spaces and pseudodifferential operators
Gröchenig, K
Heil, C
[J]. INTEGRAL EQUATIONS AND OPERATOR THEORY, 1999, 34 (04) : 439 - 457
[8] Spectral invariance for pseudodifferential operators in Holder-Zygmund spaces of the variable smoothness
Kryakvin, Vadim
Omarova, Gulnara
[J]. JOURNAL OF PSEUDO-DIFFERENTIAL OPERATORS AND APPLICATIONS, 2018, 9 (01) : 95 - 104
[9] Spectral invariance for pseudodifferential operators in Hölder–Zygmund spaces of the variable smoothness
Vadim Kryakvin
Gulnara Omarova
[J]. Journal of Pseudo-Differential Operators and Applications, 2018, 9 : 95 - 104
[10] Spectral invariance for certain algebras of pseudodifferential operators
Lauter, R
Monthubert, B
Nistor, V
[J]. JOURNAL OF THE INSTITUTE OF MATHEMATICS OF JUSSIEU, 2005, 4 (03) : 405 - 442

← 1 2 3 4 5 →