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Classical and Multilinear Harmonic Analysis: Volume 2

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Title: Classical and Multilinear Harmonic Analysis: Volume 2
Description: 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.
Authors: Camil Muscalu, Wilhelm Schlag
Resource Type: eBook.
Subjects: Harmonic analysis--Problems, exercises, etc, Harmonic analysis
Categories: MATHEMATICS / Infinity
Database: eBook Collection (EBSCOhost)
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  – Type: ebook-pdf
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Header DbId: nlebk
DbLabel: eBook Collection (EBSCOhost)
An: 508271
RelevancyScore: 1044
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PubType: eBook
PubTypeId: ebook
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  Data: Classical and Multilinear Harmonic Analysis: Volume 2
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  Data: 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.
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  Data: <searchLink fieldCode="AR" term="%22Camil+Muscalu%22">Camil Muscalu</searchLink><br /><searchLink fieldCode="AR" term="%22Wilhelm+Schlag%22">Wilhelm Schlag</searchLink>
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RecordInfo BibRecord:
  BibEntity:
    Classifications:
      – Code: 515.2433
        Scheme: ddc
        Type: prePub
    Languages:
      – Code: eng
        Text: English
    Subjects:
      – SubjectFull: Harmonic analysis--Problems, exercises, etc
        Type: general
      – SubjectFull: Harmonic analysis
        Type: general
    Titles:
      – TitleFull: Classical and Multilinear Harmonic Analysis: Volume 2
        Type: main
  BibRelationships:
    HasContributorRelationships:
      – PersonEntity:
          Name:
            NameFull: Camil Muscalu
      – PersonEntity:
          Name:
            NameFull: Wilhelm Schlag
      – PersonEntity:
          Name:
            NameFull: Camil Muscalu
      – PersonEntity:
          Name:
            NameFull: Wilhelm Schlag
    IsPartOfRelationships:
      – BibEntity:
          Dates:
            – D: 01
              M: 01
              Type: published
              Y: 2012
            – D: 04
              M: 02
              Type: profile
              Y: 2014
          Identifiers:
            – Type: isbn-print
              Value: 9781107031821
            – Type: isbn-electronic
              Value: 9781139626040
          Titles:
            – TitleFull: Classical and Multilinear Harmonic Analysis: Volume 2
              Type: main
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