Classical and multilinear harmonic analysis.: Volume 2 /
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 fi...
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| Format: | Elektronisch E-Book |
| Sprache: | English |
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Cambridge :
Cambridge University Press,
©2012.
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| Schriftenreihe: | Cambridge studies in advanced mathematics.
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| Online-Zugang: | Volltext |
| Zusammenfassung: | 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 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. |
| Beschreibung: | 1 online resource |
| ISBN: | 9781139626040 1139626043 9781139410397 1139410393 |
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| spelling | Muscalu, Camil. http://id.loc.gov/authorities/names/n2012052926 Classical and multilinear harmonic analysis. Volume 2 / Camil Muscalu, Wilhelm Schlag. Cambridge : Cambridge University Press, ©2012. 1 online resource text txt rdacontent computer c rdamedia online resource cr rdacarrier Cambridge studies in advanced mathematics Print version record. 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 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. Harmonic analysis. http://id.loc.gov/authorities/subjects/sh85058939 Harmonic analysis Problems, exercises, etc. Analyse harmonique. Analyse harmonique Problèmes et exercices. MATHEMATICS Infinity. bisacsh Análisis armónico embne Harmonic analysis fast exercise books. aat Problems and exercises fast Problems and exercises. lcgft http://id.loc.gov/authorities/genreForms/gf2014026154 Problèmes et exercices. rvmgf Schlag, Wilhelm, 1969- https://id.oclc.org/worldcat/entity/E39PBJkhPx66GGChRwCWJpjBfq http://id.loc.gov/authorities/names/no2012089666 has work: Classical and multilinear harmonic analysis Volume II (Text) https://id.oclc.org/worldcat/entity/E39PCFM44m8M7xwyHQjqgCCPcP https://id.oclc.org/worldcat/ontology/hasWork Print version: Muscalu, Camil. Classical and multilinear harmonic analysis. Volume 2. Cambridge : Cambridge University Press, 2012 9781107031821 (OCoLC)809123018 Cambridge studies in advanced mathematics. http://id.loc.gov/authorities/names/n84708314 FWS01 ZDB-4-EBA FWS_PDA_EBA https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=508271 Volltext |
| spellingShingle | Muscalu, Camil Classical and multilinear harmonic analysis. Cambridge studies in advanced mathematics. Harmonic analysis. http://id.loc.gov/authorities/subjects/sh85058939 Harmonic analysis Problems, exercises, etc. Analyse harmonique. Analyse harmonique Problèmes et exercices. MATHEMATICS Infinity. bisacsh Análisis armónico embne Harmonic analysis fast |
| subject_GND | http://id.loc.gov/authorities/subjects/sh85058939 http://id.loc.gov/authorities/genreForms/gf2014026154 |
| title | Classical and multilinear harmonic analysis. |
| title_auth | Classical and multilinear harmonic analysis. |
| title_exact_search | Classical and multilinear harmonic analysis. |
| title_full | Classical and multilinear harmonic analysis. Volume 2 / Camil Muscalu, Wilhelm Schlag. |
| title_fullStr | Classical and multilinear harmonic analysis. Volume 2 / Camil Muscalu, Wilhelm Schlag. |
| title_full_unstemmed | Classical and multilinear harmonic analysis. Volume 2 / Camil Muscalu, Wilhelm Schlag. |
| title_short | Classical and multilinear harmonic analysis. |
| title_sort | classical and multilinear harmonic analysis |
| topic | Harmonic analysis. http://id.loc.gov/authorities/subjects/sh85058939 Harmonic analysis Problems, exercises, etc. Analyse harmonique. Analyse harmonique Problèmes et exercices. MATHEMATICS Infinity. bisacsh Análisis armónico embne Harmonic analysis fast |
| topic_facet | Harmonic analysis. Harmonic analysis Problems, exercises, etc. Analyse harmonique. Analyse harmonique Problèmes et exercices. MATHEMATICS Infinity. Análisis armónico Harmonic analysis exercise books. Problems and exercises Problems and exercises. Problèmes et exercices. |
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