Multipliers for spherical harmonic expansions

Strichartz, Robert S.

doi:10.1090/S0002-9947-1972-0306823-9

Multipliers for spherical harmonic expansions
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by Robert S. Strichartz

Trans. Amer. Math. Soc. 167 (1972), 115-124

DOI: https://doi.org/10.1090/S0002-9947-1972-0306823-9

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Abstract:

Sufficient conditions are given for an operator on the sphere that commutes with rotations to be bounded in ${L^p}$. The conditions are analogous to those of Hörmander’s well-known theorem on Fourier multipliers.

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