Analysis In Banach Spaces Volume Iii Harmonic Analysis And Spectral Theory 1st Edition Tuomas Hytnen by Tuomas Hytönen, Jan Van Neerven, Mark Veraar, Lutz Weis 9783031465987, 9783031465970, 3031465970, 3031465989, 9783319698084 instant download after payment.

Mathematics Subject Classification (2020): • 46Bxx Normed linear spaces and Banach spaces; Banach lattices • 35Kxx Parabolic equations and parabolic systems • 42Bxx Harmonic analysis in several variables

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.