TY  - BOOK
AU  - Grafakos,Loukas
TI  - Classical Fourier analysis
T2  - Graduate texts in mathematics
SN  - 9781493911936
U1  - 515.2433 23
PY  - 2014///
CY  - New York :    
PB  - Springer,    
KW  - Fourier analysis.
N1  - Includes bibliographical references and index; Preface --
 1. Lp Spaces and Interpolation --
 2. Maximal Functions, Fourier Transform, and Distributions --
 3. Fourier Series --
 4. Topics on Fourier Series --
 5. Singular Integrals of Convolution Type --
 6. Littlewood?Paley Theory and Multipliers --
 7. Weighted Inequalities --
 A. Gamma and Beta Functions --
 B. Bessel Functions --
 C. Rademacher Functions --
 D. Spherical Coordinates --
 E. Some Trigonometric Identities and Inequalities --
 F. Summation by Parts --
 G. Basic Functional Analysis --
 H. The Minimax Lemma --
 I. Taylor's and Mean Value Theorem in Several Variables --
 J. The Whitney Decomposition of Open Sets in Rn --
 Glossary --
 References --
 Index
N2  - The main goal of this text is to present the theoretical foundation of the field of Fourier analysis on Euclidean spaces. It covers classical topics such as interpolation, Fourier series, the Fourier transform, maximal functions, singular integrals, and Littlewood–Paley theory. The primary readership is intended to be graduate students in mathematics with the prerequisite including satisfactory completion of courses in real and complex variables. The coverage of topics and exposition style are designed to leave no gaps in understanding and stimulate further study
ER  -