Description

Book Synopsis
Presents a treatment of basic topics that arise in Fourier analysis. This title illustrates the role played by the structure of Euclidean spaces, particularly the action of translations, dilatations, and rotations, and motivates the study of harmonic analysis on more general spaces having an analogous structure, for example, symmetric spaces.

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

Introduction to Fourier Analysis on Euclidean

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    A Hardback by Elias M. Stein, Guido Weiss

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      Book details

      Publisher Princeton University Press
      Published 21 November 1971
      ISBN-13 9780691080789
      978-0691080789
      ISBN-10 069108078X
      Also in:
      Mathematics Mathematics and Science

      Description

      Book Synopsis
      Presents a treatment of basic topics that arise in Fourier analysis. This title illustrates the role played by the structure of Euclidean spaces, particularly the action of translations, dilatations, and rotations, and motivates the study of harmonic analysis on more general spaces having an analogous structure, for example, symmetric spaces.

      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

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