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Classical and multilinear harmonic a...

Muscalu, Camil.

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Classical and multilinear harmonic analysis.. Volume 1

紀錄類型:	書目-電子資源 : Monograph/item
正題名/作者:	Classical and multilinear harmonic analysis./ Camil Muscalu, Wilhelm Schlag.
其他題名:	Classical & Multilinear Harmonic Analysis
作者:	Muscalu, Camil.
其他作者:	Schlag, Wilhelm,
出版者:	Cambridge :Cambridge University Press, : 2013.,
面頁冊數:	xviii, 370 p. :ill., digital ;24 cm.
附註:	Title from publisher's bibliographic system (viewed on 05 Oct 2015).
標題:	Harmonic analysis. -
電子資源:	https://doi.org/10.1017/CBO9781139047081
ISBN:	9781139047081

Classical and multilinear harmonic analysis.. Volume 1
Muscalu, Camil.

Classical and multilinear harmonic analysis.Volume 1[electronic resource] /Classical & Multilinear Harmonic AnalysisCamil Muscalu, Wilhelm Schlag. - Cambridge :Cambridge University Press,2013. - xviii, 370 p. :ill., digital ;24 cm. - Cambridge studies in advanced mathematics ;137. - Cambridge studies in advanced mathematics ;137..

Title from publisher's bibliographic system (viewed on 05 Oct 2015).

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 Calderon-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; Calderon's commutators and the Cauchy integral on Lipschitz curves. The material in this volume has not previously appeared together in book form.

ISBN: 9781139047081Subjects--Topical Terms:

555704
Harmonic analysis.

LC Class. No.: QA403 / .M87 2013

Dewey Class. No.: 515.2422

Classical and multilinear harmonic analysis.. Volume 1
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