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＜E-Book＞
Analysis in Banach Spaces : Volume III: Harmonic Analysis and Spectral Theory / by Tuomas Hytönen, Jan van Neerven, Mark Veraar, Lutz Weis
(Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge / A Series of Modern Surveys in Mathematics. ISSN:21975655 ; 76)

Edition	1st ed. 2023.
Publisher	Cham : Springer International Publishing : Imprint: Springer
Year	2023
Language	English
Size	XXI, 826 p : online resource
Authors	*Hytönen, Tuomas author van Neerven, Jan author Veraar, Mark author Weis, Lutz author SpringerLink (Online service)
Subjects	LCSH:Functional analysis LCSH:Fourier analysis LCSH:Harmonic analysis LCSH:Operator theory LCSH:Mathematical analysis FREE:Functional Analysis FREE:Fourier Analysis FREE:Abstract Harmonic Analysis FREE:Operator Theory FREE:Analysis
Notes	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 HTTP:URL=https://doi.org/10.1007/978-3-031-46598-7

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