Name: Fourier Analysis on the Sphere
Creator: Sherman, Thomas O.
Keywords: Analysis on other specific Lie groups, 4. Education, 0103 physical sciences, 0101 mathematics, 16. Peace & justice, 01 natural sciences

Fourier analysis on the sphere

descriptionPublicationkeyboard_double_arrow_right Article 01 Jan 1975Publisher:JSTORJournal:Transactions of the American Mathematical Society, volume 209, page 1 (issn: 0002-9947,

Authors: Sherman, Thomas O.;

doi: 10.2307/1997367 , 10.1090/s0002-9947-1975-0390663-1

Fourier Analysis on the Sphere

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Abstract

A new approach to harmonic analysis on the unit sphere in R d + 1 {{\mathbf {R}}^{d + 1}} is given, closer in form to Fourier analysis on R d {{\mathbf {R}}^d} than the usual development in orthonormal polynomials. Singular integrals occur in the transform formulae. The results generalize to symmetric space.

Keywords

Analysis on other specific Lie groups

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