Introduction to Fourier Analysis on Euclidean Spaces (Pms-32), Volume 32

Elias M Stein
Princeton University Press
9780691080789
0-691-08078-X

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.

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translations, dilatations, and rotations, and to motivate the study of harmonic analysis on more general spaces having an analogous structure, e.g., symmetric spaces.