Modulation Spaces
With Applications to Pseudodifferential Operators and Nonlinear Schrödinger Equations
Authors: Bényi, Árpád, Okoudjou, Kasso
- Explores recent developments in the field of time-frequency analysis, particularly focusing on the topic of modulation spaces
- Presents valuable applications of modulation spaces to pseudodifferential operators and partial differential equations
- Appeals to a wide audience with its clear and self-contained presentation
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- About this book
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This monograph serves as a much-needed, self-contained reference on the topic of modulation spaces. By gathering together state-of-the-art developments and previously unexplored applications, readers will be motivated to make effective use of this topic in future research. Because modulation spaces have historically only received a cursory treatment, this book will fill a gap in time-frequency analysis literature, and offer readers a convenient and timely resource.
Foundational concepts and definitions in functional, harmonic, and real analysis are reviewed in the first chapter, which is then followed by introducing modulation spaces. The focus then expands to the many valuable applications of modulation spaces, such as linear and multilinear pseudodifferential operators, and dispersive partial differential equations. Because it is almost entirely self-contained, these insights will be accessible to a wide audience of interested readers.
Modulation Spaces will be an ideal reference for researchers in time-frequency analysis and nonlinear partial differential equations. It will also appeal to graduate students and seasoned researchers who seek an introduction to the time-frequency analysis of nonlinear dispersive partial differential equations.
- Table of contents (7 chapters)
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Notions of Real, Functional, and Fourier Analysis
Pages 1-33
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Modulation Spaces
Pages 35-59
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Equivalent Definitions of Modulation Spaces
Pages 61-76
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Pseudodifferential Operators
Pages 77-106
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Weighted Modulation Spaces
Pages 107-117
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Table of contents (7 chapters)
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Bibliographic Information
- Bibliographic Information
-
- Book Title
- Modulation Spaces
- Book Subtitle
- With Applications to Pseudodifferential Operators and Nonlinear Schrödinger Equations
- Authors
-
- Árpád Bényi
- Kasso Okoudjou
- Series Title
- Applied and Numerical Harmonic Analysis
- Copyright
- 2020
- Publisher
- Birkhäuser Basel
- Copyright Holder
- Springer Science+Business Media, LLC, part of Springer Nature
- eBook ISBN
- 978-1-0716-0332-1
- DOI
- 10.1007/978-1-0716-0332-1
- Hardcover ISBN
- 978-1-0716-0330-7
- Series ISSN
- 2296-5009
- Edition Number
- 1
- Number of Pages
- XVI, 169
- Number of Illustrations
- 3 b/w illustrations
- Topics
