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 (pages 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.