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Analysis in Banach Spaces : Volume III: Harmonic Analysis and Spectral Theory / / by Tuomas Hytönen, Jan van Neerven, Mark Veraar, Lutz Weis



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Autore: Hytönen Tuomas Visualizza persona
Titolo: Analysis in Banach Spaces : Volume III: Harmonic Analysis and Spectral Theory / / by Tuomas Hytönen, Jan van Neerven, Mark Veraar, Lutz Weis Visualizza cluster
Pubblicazione: Cham : , : Springer International Publishing : , : Imprint : Springer, , 2023
Edizione: 1st ed. 2023.
Descrizione fisica: 1 online resource (839 pages)
Disciplina: 515.732
Soggetto topico: Functional analysis
Fourier analysis
Harmonic analysis
Operator theory
Mathematical analysis
Functional Analysis
Fourier Analysis
Abstract Harmonic Analysis
Operator Theory
Analysis
Anàlisi harmònica
Teoria d'operadors
Anàlisi de Fourier
Anàlisi matemàtica
Anàlisi funcional
Espais de Banach
Soggetto genere / forma: Llibres electrònics
Altri autori: van NeervenJan  
VeraarMark  
WeisLutz  
Nota di contenuto: 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.
Sommario/riassunto: 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.
Titolo autorizzato: Analysis in Banach Spaces  Visualizza cluster
ISBN: 3-031-46598-9
Formato: Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione: Inglese
Record Nr.: 9910770276503321
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Serie: Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge / A Series of Modern Surveys in Mathematics, . 2197-5655 ; ; 76