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Analysis in Banach spaces.Volume III,Harmonic analysis and spectral theory

Record Type:	Electronic resources : Monograph/item
Title/Author:	Analysis in Banach spaces.by Tuomas Hytonen ... [et al.].
remainder title:	Harmonic analysis and spectral theory
other author:	Hytonen, Tuomas.
Published:	Cham :Springer International Publishing :2023.
Description:	xxi, 826 p. :ill., digital ;24 cm.
Contained By:	Springer Nature eBook
Subject:	Banach spaces.
Online resource:	https://doi.org/10.1007/978-3-031-46598-7
ISBN:	9783031465987$q(electronic bk.)

Analysis in Banach spaces.Volume III,Harmonic analysis and spectral theory
Analysis in Banach spaces.Volume III,Harmonic analysis and spectral theory[electronic resource] /Harmonic analysis and spectral theoryby Tuomas Hytonen ... [et al.]. - Cham :Springer International Publishing :2023. - xxi, 826 p. :ill., digital ;24 cm. - Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge / A Series of Modern Surveys in Mathematics,v. 762197-5655 ;. - Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge / A Series of Modern Surveys in Mathematics ;v. 75.

11 Singular integral operators -- 12 Dyadic operators and the T (1) theorem -- 13 The Fourier transform and multipliers -- 14 Function spaces -- 15 Bounded imaginary powers -- 16 The H∞-functional calculus revisited -- 17 Maximal regularity -- 18 Nonlinear parabolic evolution equations in critical spaces -- Appendix Q: Questions -- Appendix K: Semigroup theory revisited -- Appendix L: The trace method for real interpolation theory.

This third volume of Analysis in Banach Spaces offers a systematic treatment of Banach space-valued singular integrals, Fourier transforms, and function spaces. It further develops and ramifies the theory of functional calculus from Volume II and describes applications of these new notions and tools to the problem of maximal regularity of evolution equations. The exposition provides a unified treatment of a large body of results, much of which has previously only been available in the form of research papers. Some of the more classical topics are presented in a novel way using modern techniques amenable to a vector-valued treatment. Thanks to its accessible style with complete and detailed proofs, this book will be an invaluable reference for researchers interested in functional analysis, harmonic analysis, and the operator-theoretic approach to deterministic and stochastic evolution equations.

ISBN: 9783031465987$q(electronic bk.)

Standard No.: 10.1007/978-3-031-46598-7doiSubjects--Topical Terms:

199048
Banach spaces.

LC Class. No.: QA322.2

Dewey Class. No.: 515.732

Analysis in Banach spaces.Volume III,Harmonic analysis and spectral theory
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490 1 $a Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge / A Series of Modern Surveys in Mathematics, $x 2197-5655 ; $v v. 76
505 0 $a 11 Singular integral operators -- 12 Dyadic operators and the T (1) theorem -- 13 The Fourier transform and multipliers -- 14 Function spaces -- 15 Bounded imaginary powers -- 16 The H∞-functional calculus revisited -- 17 Maximal regularity -- 18 Nonlinear parabolic evolution equations in critical spaces -- Appendix Q: Questions -- Appendix K: Semigroup theory revisited -- Appendix L: The trace method for real interpolation theory.
520 $a This third volume of Analysis in Banach Spaces offers a systematic treatment of Banach space-valued singular integrals, Fourier transforms, and function spaces. It further develops and ramifies the theory of functional calculus from Volume II and describes applications of these new notions and tools to the problem of maximal regularity of evolution equations. The exposition provides a unified treatment of a large body of results, much of which has previously only been available in the form of research papers. Some of the more classical topics are presented in a novel way using modern techniques amenable to a vector-valued treatment. Thanks to its accessible style with complete and detailed proofs, this book will be an invaluable reference for researchers interested in functional analysis, harmonic analysis, and the operator-theoretic approach to deterministic and stochastic evolution equations.
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700 1 $a Hytonen, Tuomas. $3 763210
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