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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Place / Publishing House: | Berlin ;, Boston : : De Gruyter, , [2020] ©2020 |
Year of Publication: | 2020 |
Language: | English |
Series: | De Gruyter Studies in Mathematics ,
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Physical Description: | 1 online resource (XIV, 444 p.) |
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Cordero, Elena, author. aut http://id.loc.gov/vocabulary/relators/aut Time-Frequency Analysis of Operators / Elena Cordero, Luigi Rodino. Berlin ; Boston : De Gruyter, [2020] ©2020 1 online resource (XIV, 444 p.) text txt rdacontent computer c rdamedia online resource cr rdacarrier text file PDF rda De Gruyter Studies in Mathematics , 0179-0986 ; 75 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 restricted access http://purl.org/coar/access_right/c_16ec online access with authorization star 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. Issued also in print. Mode of access: Internet via World Wide Web. In English. Description based on online resource; title from PDF title page (publisher's Web site, viewed 28. Feb 2023) Fourier integral operators. Gabor transforms. Pseudodifferential operators. Time-series analysis. Fourier-Integraloperator. Gabor-Transformation. Nichtlineare Wellengleichung. Pseudodifferentialoperator. Zeit-Frequenz-Analyse. MATHEMATICS / Functional Analysis. bisacsh Rodino, Luigi, author. aut http://id.loc.gov/vocabulary/relators/aut Title is part of eBook package: De Gruyter DG Ebook Package English 2020 9783110696288 Title is part of eBook package: De Gruyter DG Plus DeG Package 2020 Part 1 9783110696271 Title is part of eBook package: De Gruyter De Gruyter English eBooks 2020 - UC 9783110659061 Title is part of eBook package: De Gruyter EBOOK PACKAGE COMPLETE 2020 English 9783110704716 Title is part of eBook package: De Gruyter EBOOK PACKAGE COMPLETE 2020 9783110704518 ZDB-23-DGG Title is part of eBook package: De Gruyter EBOOK PACKAGE Mathematics 2020 English 9783110704846 Title is part of eBook package: De Gruyter EBOOK PACKAGE Mathematics 2020 9783110704662 ZDB-23-DMA EPUB 9783110530605 print 9783110530353 https://doi.org/10.1515/9783110532456 https://www.degruyter.com/isbn/9783110532456 Cover https://www.degruyter.com/document/cover/isbn/9783110532456/original |
language |
English |
format |
eBook |
author |
Cordero, Elena, Cordero, Elena, Rodino, Luigi, |
spellingShingle |
Cordero, Elena, Cordero, Elena, Rodino, Luigi, Time-Frequency Analysis of Operators / De Gruyter Studies in Mathematics , 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 |
author_facet |
Cordero, Elena, Cordero, Elena, Rodino, Luigi, Rodino, Luigi, Rodino, Luigi, |
author_variant |
e c ec e c ec l r lr |
author_role |
VerfasserIn VerfasserIn VerfasserIn |
author2 |
Rodino, Luigi, Rodino, Luigi, |
author2_variant |
l r lr |
author2_role |
VerfasserIn VerfasserIn |
author_sort |
Cordero, Elena, |
title |
Time-Frequency Analysis of Operators / |
title_full |
Time-Frequency Analysis of Operators / Elena Cordero, Luigi Rodino. |
title_fullStr |
Time-Frequency Analysis of Operators / Elena Cordero, Luigi Rodino. |
title_full_unstemmed |
Time-Frequency Analysis of Operators / Elena Cordero, Luigi Rodino. |
title_auth |
Time-Frequency Analysis of Operators / |
title_alt |
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 |
title_new |
Time-Frequency Analysis of Operators / |
title_sort |
time-frequency analysis of operators / |
series |
De Gruyter Studies in Mathematics , |
series2 |
De Gruyter Studies in Mathematics , |
publisher |
De Gruyter, |
publishDate |
2020 |
physical |
1 online resource (XIV, 444 p.) Issued also in print. |
contents |
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 |
isbn |
9783110532456 9783110696288 9783110696271 9783110659061 9783110704716 9783110704518 9783110704846 9783110704662 9783110530605 9783110530353 |
issn |
0179-0986 ; |
callnumber-first |
Q - Science |
callnumber-subject |
QA - Mathematics |
callnumber-label |
QA329 |
callnumber-sort |
QA 3329.7 C65 42020 |
url |
https://doi.org/10.1515/9783110532456 https://www.degruyter.com/isbn/9783110532456 https://www.degruyter.com/document/cover/isbn/9783110532456/original |
illustrated |
Not Illustrated |
dewey-hundreds |
500 - Science |
dewey-tens |
510 - Mathematics |
dewey-ones |
515 - Analysis |
dewey-full |
515.7242 |
dewey-sort |
3515.7242 |
dewey-raw |
515.7242 |
dewey-search |
515.7242 |
doi_str_mv |
10.1515/9783110532456 |
oclc_num |
1198931037 |
work_keys_str_mv |
AT corderoelena timefrequencyanalysisofoperators AT rodinoluigi timefrequencyanalysisofoperators |
status_str |
n |
ids_txt_mv |
(DE-B1597)477167 (OCoLC)1198931037 |
carrierType_str_mv |
cr |
hierarchy_parent_title |
Title is part of eBook package: De Gruyter DG Ebook Package English 2020 Title is part of eBook package: De Gruyter DG Plus DeG Package 2020 Part 1 Title is part of eBook package: De Gruyter De Gruyter English eBooks 2020 - UC Title is part of eBook package: De Gruyter EBOOK PACKAGE COMPLETE 2020 English Title is part of eBook package: De Gruyter EBOOK PACKAGE COMPLETE 2020 Title is part of eBook package: De Gruyter EBOOK PACKAGE Mathematics 2020 English Title is part of eBook package: De Gruyter EBOOK PACKAGE Mathematics 2020 |
is_hierarchy_title |
Time-Frequency Analysis of Operators / |
container_title |
Title is part of eBook package: De Gruyter DG Ebook Package English 2020 |
author2_original_writing_str_mv |
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1770177658847494144 |
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