ENGLISH

Analysis in Banach Spaces: Volume III: Harmonic Analysis and Spectral Theory

By Lutz Weis , Jan van Neerven , Tuomas Hytönen , Mark Veraar

Book information

Publisher
Springer
Year
2023
ISBN
3031465970, 9783031465970
Language
english
Format
PDF
Filesize
6 MB (6287502 bytes)
Series
Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge / A Series of Modern Surveys in Mathematics, 76; 76
Pages
847\842
Time added
2024-02-07 10:34:05

Description

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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