Fourier analysis on the sphere
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- by Thomas O. Sherman PDF
- Trans. Amer. Math. Soc. 209 (1975), 1-31 Request permission
Abstract:
A new approach to harmonic analysis on the unit sphere in ${{\mathbf {R}}^{d + 1}}$ is given, closer in form to Fourier analysis on ${{\mathbf {R}}^d}$ than the usual development in orthonormal polynomials. Singular integrals occur in the transform formulae. The results generalize to symmetric space.References
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Additional Information
- © Copyright 1975 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 209 (1975), 1-31
- MSC: Primary 43A85
- DOI: https://doi.org/10.1090/S0002-9947-1975-0390663-1
- MathSciNet review: 0390663