Applied and Numerical Harmonic Analysis
cover

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
see more benefits

Buy this book

eBook $84.99
price for USA in USD
  • ISBN 978-1-0716-0332-1
  • Digitally watermarked, DRM-free
  • Included format: EPUB, PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $109.99
price for USA in USD
About this book

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)

Table of contents (7 chapters)
  • Notions of Real, Functional, and Fourier Analysis

    Pages 1-33

    Bényi, Árpád (et al.)

  • Modulation Spaces

    Pages 35-59

    Bényi, Árpád (et al.)

  • Equivalent Definitions of Modulation Spaces

    Pages 61-76

    Bényi, Árpád (et al.)

  • Pseudodifferential Operators

    Pages 77-106

    Bényi, Árpád (et al.)

  • Weighted Modulation Spaces

    Pages 107-117

    Bényi, Árpád (et al.)

Buy this book

eBook $84.99
price for USA in USD
  • ISBN 978-1-0716-0332-1
  • Digitally watermarked, DRM-free
  • Included format: EPUB, PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $109.99
price for USA in USD
Loading...

Recommended for you

Loading...

Bibliographic Information

Bibliographic Information
Book Title
Modulation Spaces
Book Subtitle
With Applications to Pseudodifferential Operators and Nonlinear Schrödinger Equations
Authors
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