Classical Fourier analysis / [electronic resource]
Grafakos, Loukas
Classical Fourier analysis / [electronic resource] Fourier analysis Loukas Grafakos - Third edition - New York : Springer, 2014 - 1 online resource (xvii, 638 pages) : illustrations - Graduate texts in mathematics, 249 0072-5285 ; . - Graduate texts in mathematics ; 249. .
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.
9781493911943 (E-book)
FOURIER ANALYSIS
QA 403.5 / G72C 2014
Classical Fourier analysis / [electronic resource] Fourier analysis Loukas Grafakos - Third edition - New York : Springer, 2014 - 1 online resource (xvii, 638 pages) : illustrations - Graduate texts in mathematics, 249 0072-5285 ; . - Graduate texts in mathematics ; 249. .
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.
9781493911943 (E-book)
FOURIER ANALYSIS
QA 403.5 / G72C 2014