Classical and Multilinear Harmonic Analysis
Classical and Multilinear Harmonic Analysis
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Zusammenfassung
This two-volume text in harmonic analysis is appropriate for advanced undergraduate students with a strong background in mathematical analysis and for beginning graduate students wishing to specialize in analysis. With numerous exercises and problems it is suitable for independent study as well as for use as a course text.
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Classical and Multilinear Harmonic Analysis by Camil Muscalu
This two-volume text in harmonic analysis introduces a wealth of analytical results and techniques. It is largely self-contained and useful to graduates and researchers in pure and applied analysis. Numerous exercises and problems make the text suitable for self-study and the classroom alike. The first volume starts with classical one-dimensional topics: Fourier series; harmonic functions; Hilbert transform. Then the higher-dimensional Calder n-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; Calder n's commutators and the Cauchy integral on Lipschitz curves. The material in this volume has not previously appeared together in book form.
Review of the set: 'The two-volume set under review is a worthy addition to this tradition from two of the younger generation of researchersIt is remarkable that the authors have managed to fit all of this into [this number of] smaller-than-average pages without omitting to provide motivation and helpful intuitive remarks. Altogether, these books are a most welcome addition to the literature of harmonic analysis.' Gerald B. Folland, Mathematical Reviews
Camil Muscalu is Associate Professor of Mathematics at Cornell University, New York. Wilhelm Schlag is Professor in the Department of Mathematics at the University of Chicago.
| SKU | Nicht verfügbar |
| ISBN 13 | 9781107031821 |
| ISBN 10 | 1107031826 |
| Titel | Classical and Multilinear Harmonic Analysis |
| Autor | Camil Muscalu |
| Serie | Cambridge Studies In Advanced Mathematics |
| Buchzustand | Nicht verfügbar |
| Bindungsart | Hardback |
| Verlag | Cambridge University Press |
| Erscheinungsjahr | 2013-01-31 |
| Seitenanzahl | 339 |
| Hinweis auf dem Einband | Die Abbildung des Buches dient nur Illustrationszwecken, die tatsächliche Bindung, das Cover und die Auflage können sich davon unterscheiden. |
| Hinweis | Nicht verfügbar |