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

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Bibliographic Details
Main Authors: Hytönen, Tuomas, van Neerven, Jan (Author), Veraar, Mark (Author), Weis, Lutz (Author)
Format: eBook
Language:English
Published: Cham Springer International Publishing 2023, 2023
Edition:1st ed. 2023
Series:Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge / A Series of Modern Surveys in Mathematics
Subjects:
Functional Analysis
Mathematical Analysis
Harmonic Analysis
Fourier Analysis
Analysis
Operator Theory
Abstract Harmonic Analysis
Online Access:
Collection: Springer eBooks 2005- - Collection details see MPG.ReNa
Table of Contents:
  • 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

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