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Modulation spaceswith applications t...

Benyi, Arpad.

Modulation spaceswith applications to pseudodifferential operators and nonlinear Schrodinger equations /

紀錄類型:	書目-電子資源 : Monograph/item
正題名/作者:	Modulation spacesby Arpad Benyi, Kasso A. Okoudjou.
其他題名:	with applications to pseudodifferential operators and nonlinear Schrodinger equations /
作者:	Benyi, Arpad.
其他作者:	Okoudjou, Kasso A.
出版者:	New York, NY :Springer New York :2020.
面頁冊數:	xvi, 169 p. :ill., digital ;24 cm.
Contained By:	Springer eBooks
標題:	Mathematical analysis.
電子資源:	https://doi.org/10.1007/978-1-0716-0332-1
ISBN:	9781071603321$q(electronic bk.)

Modulation spaceswith applications to pseudodifferential operators and nonlinear Schrodinger equations /
Benyi, Arpad.

Modulation spaceswith applications to pseudodifferential operators and nonlinear Schrodinger equations /[electronic resource] :by Arpad Benyi, Kasso A. Okoudjou. - New York, NY :Springer New York :2020. - xvi, 169 p. :ill., digital ;24 cm. - Applied and numerical harmonic analysis,2296-5009. - Applied and numerical harmonic analysis..

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-Lindelof and Peano theorems -- Gronwall's lemma -- Local well-posedness of NLS on Sobolev spaces.

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.

ISBN: 9781071603321$q(electronic bk.)

Standard No.: 10.1007/978-1-0716-0332-1doiSubjects--Topical Terms:

186133
Mathematical analysis.

LC Class. No.: QA300 / .B338 2020

Dewey Class. No.: 515

Modulation spaceswith applications to pseudodifferential operators and nonlinear Schrodinger equations /
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505 0 $a 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-Lindelof and Peano theorems -- Gronwall's lemma -- Local well-posedness of NLS on Sobolev spaces.
520 $a 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.
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