Introduction to Fourier Analysis on Euclidean Spaces

by Elias M. Stein, Guido Weiss

Overview

The authors present a unified treatment of basic topics that arise in Fourier analysis. Their intention is to illustrate the role played by the structure of Euclidean spaces, particularly the action of translations, dilatations, and rotations, and to motivate the study of harmonic analysis on more general spaces having an analogous structure, e.g., symmetric spaces.

Product Details

ISBN-13:	9780691080789
Publisher:	Princeton University Press
Publication date:	11/21/1971
Series:	Princeton Mathematical Series , #32
Edition description:	New Edition
Pages:	312
Product dimensions:	6.00(w) x 9.00(h) x (d)

Table of Contents

• Frontmatter, pg. i
• Preface, pg. vii
• Contents, pg. ix
• I. The Fourier Transform, pg. 1
• II. Boundary Values of Harmonic Functions, pg. 37
• III. The Theory of Hp Spaces on Tubes, pg. 89
• IV. Symmetry Properties o f the Fourier Transform, pg. 133
• V. Interpolation of Operators, pg. 177
• VI. Singular Integrals and Systems of Conjugate Harmonic Functions, pg. 217
• VII. Multiple Fourier Series, pg. 245
• Bibliography, pg. 287
• Index, pg. 295