Classical and multilinear harmonic analysis
 Responsibility
 Camil Muscalu, Wilhelm Schlag.
 Language
 English.
 Imprint
 Cambridge ; New York : Cambridge University Press, 2013.
 Physical description
 2 volumes : illustrations ; 24 cm.
 Series
 Cambridge studies in advanced mathematics ; 137138.
Access
Available online
Math & Statistics Library

Stacks
 Library has: v.1
2 
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QA403 .M87 2013 V.1

Unknown
QA403 .M87 2013 V.2
 Library has: v.1
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Creators/Contributors
 Author/Creator
 Muscalu, Camil, author.
 Contributor
 Schlag, Wilhelm, 1969 author.
Contents/Summary
 Bibliography
 Includes bibliographical references and index.
 Contents

 Preface Acknowledgements 1. Fourier series: convergence and summability 2. Harmonic functions, Poisson kernel 3. Conjugate harmonic functions, Hilbert transform 4. The Fourier Transform on Rd and on LCA groups 5. Introduction to probability theory 6. Fourier series and randomness 7. CalderonZygmund theory of singular integrals 8. LittlewoodPaley theory 9. Almost orthogonality 10. The uncertainty principle 11. Fourier restriction and applications 12. Introduction to the Weyl calculus References Index.
 (source: Nielsen Book Data)
 Publisher's Summary
 This twovolume text in harmonic analysis introduces a wealth of analytical results and techniques. It is largely selfcontained and will be useful to graduate students and researchers in both pure and applied analysis. Numerous exercises and problems make the text suitable for selfstudy and the classroom alike. This first volume starts with classical onedimensional topics: Fourier series; harmonic functions; Hilbert transform. Then the higherdimensional CalderonZygmund and LittlewoodPaley 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; CoifmanMeyer 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.
(source: Nielsen Book Data)
Subjects
 Subject
 Harmonic analysis.
Bibliographic information
 Publication date
 2013
 Copyright date
 2013
 Series
 Cambridge studies in advanced mathematics ; 137138
 ISBN
 9781107032620 (set)
 1107032628 (set)
 9780521882453 (v. 1 : hardback)
 0521882451 (v. 1 : hardback)
 9781107031821 (v. 2 : hardback)
 1107031826 (v. 2 : hardback)