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Catalogue Information
Field name	Details
Dewey Class	515.2433
Title	Modulation Spaces ([EBook]) : With Applications to Pseudodifferential Operators and Nonlinear Schrödinger Equations / / by Árpád Bényi, Kasso A. Okoudjou.
Author	Bényi, Árpád
Added Personal Name	Okoudjou, Kasso A.
Other name(s)	SpringerLink (Online service)
Edition statement	1st ed. 2020.
Publication	New York, NY : : Springer New York : : Imprint: Birkhäuser, , 2020.
Physical Details	XVI, 169 p. 3 illus. : online resource.
Series	Applied and numerical harmonic analysis 2296-5009
ISBN	9781071603321
Summary Note	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.:
Contents note	Notions of real, functional and Fourier analysis -- Modulation spaces -- Equivalent definitions of modulation spaces -- Pseudodifferential operators -- Weighted modulation spaces -- Modulation spaces and other function spaces -- Applications to partial differential equations -- A proof of Banach's fixed point theorem -- The Picard-Lindelöf and Peano theorems -- Gronwall's lemma -- Local well-posedness of NLS on Sobolev spaces.
Mode of acces to digital resource	Digital book. Cham Springer Nature 2020. - Mode of access: World Wide Web. System requirements: Internet Explorer 6.0 (or higher) or Firefox 2.0 (or higher). Available as searchable text in PDF format
System details note	- Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users).
Internet Site	https://doi.org/10.1007/978-1-0716-0332-1
Links to Related Works	Subject References: Fourier Analysis . Functional Analysis . Operator Theory . Partial differential equations . Authors: author . Bényi, Árpád . Okoudjou, Kasso A. . Corporate Authors: SpringerLink (Online service) . Series: Applied and numerical harmonic analysis . Classification: 515.2433 .

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Modulation Spaces: With Applications to Pseudodifferential Operators and Nonlinear Schrödinger Equations

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