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Classical and multilinear harmonic analysis / Camil Muscalu, Wilhelm Schlag.

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Author/Creator:
Muscalu, Camil, author.
Language:
English.
Publication date:
2013
Copyright date:
2013
Imprint:
Cambridge ; New York : Cambridge University Press, 2013.
Format:
  • Book
  • 2 volumes : illustrations ; 24 cm.
Bibliography:
Includes bibliographical references and index.
Summary:
"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"-- Provided by publisher.
Contributor:
Schlag, Wilhelm, 1969- author.
Series:
Cambridge studies in advanced mathematics ; 137-138.
Subjects:
ISBN:
9781107032620
1107032628
9780521882453
0521882451
9781107031821
1107031826

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