2666

Grafakos, Loukas

Third edition

xvii, 638 pages illustrations 25 cm

Graduate texts in mathematics

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

Grafakos, Loukas