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Fourier Analysis - An Introduction

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Author(s): Lias M. Stein, Rami Shakarchi
Publisher: Princeton univ press
Year: 2003

Language: English
Pages: 326

Cover......Page 1
Princeton Lectures in Analysis......Page 3
FOURIER ANALYSIS - AN INTRODUCTION......Page 4
Foreword......Page 6
Preface to Book I......Page 9
Contents......Page 11
1 The Genesis of Fourier Analysis......Page 15
2 Basic Properties of Fourier Series......Page 43
3 Convergence of Fourier Series......Page 83
4 Some Applications of Fourier Series......Page 114
5 The Fourier Transform on R......Page 143
6 The Fourier Transform on Rd......Page 189
7 Finite Fourier Analysis......Page 232
8 Dirichlet's Theorem......Page 255
Appendix : Integration......Page 295
Bibliography......Page 315
Symbol Glossary......Page 319
Index......Page 321