Time-Frequency Analysis of Operators / / Elena Cordero, Luigi Rodino.
This authoritative text studies pseudodifferential and Fourier integral operators in the framework of time-frequency analysis, providing an elementary approach, along with applications to almost diagonalization of such operators and to the sparsity of their Gabor representations. Moreover, Gabor fra...
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Superior document: | Title is part of eBook package: De Gruyter DG Ebook Package English 2020 |
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Place / Publishing House: | Berlin ;, Boston : : De Gruyter, , [2020] ©2020 |
Year of Publication: | 2020 |
Language: | English |
Series: | De Gruyter Studies in Mathematics ,
75 |
Online Access: | |
Physical Description: | 1 online resource (XIV, 444 p.) |
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Other title: | Frontmatter -- Preface -- Introduction -- Contents -- 0 Preliminaries -- 1 Basics of time–frequency representations and related properties -- 2 Function spaces -- 3 Gabor frames and linear operators -- 4 Pseudodifferential operators -- 5 Time–frequency analysis of constant-coefficient partial differential equations -- 6 Fourier integral operators and applications to Schrödinger equations -- A Appendix -- Bibliography -- Index -- Index of Notation |
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Summary: | This authoritative text studies pseudodifferential and Fourier integral operators in the framework of time-frequency analysis, providing an elementary approach, along with applications to almost diagonalization of such operators and to the sparsity of their Gabor representations. Moreover, Gabor frames and modulation spaces are employed to study dispersive equations such as the Schrödinger, wave, and heat equations and related Strichartz problems. The first part of the book is addressed to non-experts, presenting the basics of time-frequency analysis: short time Fourier transform, Wigner distribution and other representations, function spaces and frames theory, and it can be read independently as a short text-book on this topic from graduate and under-graduate students, or scholars in other disciplines. |
Format: | Mode of access: Internet via World Wide Web. |
ISBN: | 9783110532456 9783110696288 9783110696271 9783110659061 9783110704716 9783110704518 9783110704846 9783110704662 |
ISSN: | 0179-0986 ; |
DOI: | 10.1515/9783110532456 |
Access: | restricted access |
Hierarchical level: | Monograph |
Statement of Responsibility: | Elena Cordero, Luigi Rodino. |