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Classical and Multilinear Harmonic Analysis by Camil Muscalu

Classical and Multilinear Harmonic Analysis

by Camil Muscalu , Wilhelm Schlag
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Book cover type: Hardcover
  • ISBN13: 9780521882453
  • Binding: Hardcover
  • Subject: N/A
  • Publisher: Cambridge University Press
  • Publisher Imprint: Cambridge University Press
  • Publication Date: N/A
  • Pages: 387
  • Original Price: GBP 66.0
  • Language: English
  • Edition: N/A
  • Item Weight: 681 grams
  • BISAC Subject(s): Mathematical Analysis

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.

Muscalu, Camil: - Camil Muscalu is Associate Professor of Mathematics at Cornell University, New York.

Schlag, Wilhelm: - W. Schlag is Professor in the Department of Mathematics at the University of Chicago.

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