Introduction to Fourier Analysis on Euclidean Spaces

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Princeton University Press, 1971 - Mathematics - 297 pages
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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.

  

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Contents

The Fourier Transform
1
Boundary Values of Harmonic Functions
37
The Theory of H Spaces on Tubes
89
Symmetry Properties of the Fourier Transform
133
Singular Integrals and Systems of Conjugate
217
Multiple Fourier Series
245
Bibliography
287
Index
295
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About the author (1971)

Elias M. Stein is Professor of Mathematics at Princeton University.

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