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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245 1 0 |a Time-Frequency Analysis of Operators /  |c Elena Cordero, Luigi Rodino. 
264 1 |a Berlin ;  |a Boston :   |b De Gruyter,   |c [2020] 
264 4 |c ©2020 
300 |a 1 online resource (XIV, 444 p.) 
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490 0 |a De Gruyter Studies in Mathematics ,  |x 0179-0986 ;  |v 75 
505 0 0 |t Frontmatter --   |t Preface --   |t Introduction --   |t Contents --   |t 0 Preliminaries --   |t 1 Basics of time–frequency representations and related properties --   |t 2 Function spaces --   |t 3 Gabor frames and linear operators --   |t 4 Pseudodifferential operators --   |t 5 Time–frequency analysis of constant-coefficient partial differential equations --   |t 6 Fourier integral operators and applications to Schrödinger equations --   |t A Appendix --   |t Bibliography --   |t Index --   |t Index of Notation 
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520 |a 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. 
530 |a Issued also in print. 
538 |a Mode of access: Internet via World Wide Web. 
546 |a In English. 
588 0 |a Description based on online resource; title from PDF title page (publisher's Web site, viewed 28. Feb 2023) 
650 0 |a Fourier integral operators. 
650 0 |a Gabor transforms. 
650 0 |a Pseudodifferential operators. 
650 0 |a Time-series analysis. 
650 4 |a Fourier-Integraloperator. 
650 4 |a Gabor-Transformation. 
650 4 |a Nichtlineare Wellengleichung. 
650 4 |a Pseudodifferentialoperator. 
650 4 |a Zeit-Frequenz-Analyse. 
650 7 |a MATHEMATICS / Functional Analysis.  |2 bisacsh 
700 1 |a Rodino, Luigi,   |e author.  |4 aut  |4 http://id.loc.gov/vocabulary/relators/aut 
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