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Classical and multilinear harmonic analysis. Volume 1

Classical and multilinear harmonic analysis. Volume 1
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Feldname Details
Dewey Class 515.2433
Titel Classical and multilinear harmonic analysis. Volume 1 (M) / Camil Muscalu, Wilhelm Schlag
Verfasser Muscalu, Camil
Added Personal Name Schlag, Wilhelm 1969-
Veröffentl Cambridge : Cambridge University Press , 2013
Physical Details xviii, 370 pages : ill. ; 24 cm.
Reihe Cambridge studies in advanced mathematics ; 137
ISBN 9780521882453
Notiz Online publication date:February 2013
Summary Note This two-volume text in harmonic analysis introduces a wealth of analytical results and techniques. It is largely self-contained and will be useful to graduate students and researchers in both pure and applied analysis. Numerous exercises and problems make the text suitable for self-study and the classroom alike. This first volume starts with classical one-dimensional topics: Fourier series; harmonic functions; Hilbert transform. Then the higher-dimensional Calderón–Zygmund and Littlewood–Paley theories are developed. Probabilistic methods and their applications are discussed, as are applications of harmonic analysis to partial differential equations. The volume concludes with an introduction to the Weyl calculus. The second volume goes beyond the classical to the highly contemporary and focuses on multilinear aspects of harmonic analysis: the bilinear Hilbert transform; Coifman–Meyer theory; Carleson's resolution of the Lusin conjecture; Calderón's commutators and the Cauchy integral on Lipschitz curves. The material in this volume has not previously appeared together in book form.:
System details note Online access to the digital version of this printed book is available only to subscription institutions through IP address (only for SISSA internal users)
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