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Transactions of the American Mathematical Society
Transactions of the American Mathematical Society
ISSN 1088-6850(online) ISSN 0002-9947(print)

 

Multipliers for spherical harmonic expansions


Author: Robert S. Strichartz
Journal: Trans. Amer. Math. Soc. 167 (1972), 115-124
MSC: Primary 43A75
MathSciNet review: 0306823
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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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Additional Information

DOI: http://dx.doi.org/10.1090/S0002-9947-1972-0306823-9
PII: S 0002-9947(1972)0306823-9
Keywords: Spherical harmonics, $ {L^p}$ multipliers, Littlewood-Paley theory
Article copyright: © Copyright 1972 American Mathematical Society



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