Classical Fourier analysis / Loukas Grafakos.

By: Grafakos, LoukasContributor(s): Grafakos, Loukas. Classical and modern Fourier analysisMaterial type: TextTextSeries: Graduate texts in mathematics ; 249.Publisher: New York : Springer, [2014]Edition: Third editionDescription: xvii, 638 pages : illustrations ; 25 cmContent type: text Media type: computer Carrier type: online resourceISBN: 9781493911936 (hbk : acidfree paper); 1493911937 (hbk : acidfree paper)Other title: Fourier analysisSubject(s): Fourier analysis | Fourier analysisLOC classification: QA403.5 | .G73 2014Online resources: Click here to access online
Contents:
Lp spaces and interpolation -- Maximal functions, Fourier transform, and distributions -- Fourier series -- Topics on Fourier series -- Singular integrals of convolution type -- Littlewood-Paley theory and multipliers -- Weighted inequalities -- Gamma and beta functions -- Bessel functions -- Rademacher functions -- Spherical coordinates -- Some trigonometric identities and inequalities -- Summation by parts -- Basic functional analysis -- The Minimax lemma -- Taylor's and mean value theorem in several variables -- The Whitney decomposition of open sets in Rn.
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First volume of the third edition of the author's Classical and modern Fourier analysis. Second volume of third edition issued with title: Modern Fourier analysis.

Includes bibliographical references (p. 617-631) and index.

Lp spaces and interpolation -- Maximal functions, Fourier transform, and distributions -- Fourier series -- Topics on Fourier series -- Singular integrals of convolution type -- Littlewood-Paley theory and multipliers -- Weighted inequalities -- Gamma and beta functions -- Bessel functions -- Rademacher functions -- Spherical coordinates -- Some trigonometric identities and inequalities -- Summation by parts -- Basic functional analysis -- The Minimax lemma -- Taylor's and mean value theorem in several variables -- The Whitney decomposition of open sets in Rn.

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