Fourier decompositions with positive coefficients in compact Gelfand pairs
Author:
Brian E. Blank
Journal:
Proc. Amer. Math. Soc. 119 (1993), 427-430
MSC:
Primary 43A30; Secondary 43A15
DOI:
https://doi.org/10.1090/S0002-9939-1993-1195713-7
MathSciNet review:
1195713
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Abstract | References | Similar Articles | Additional Information
Abstract: For a compact separable Hausdorff topological group and for
the finiteness of the Hausdorff-Young sequence operator is established for functions in
with positive Fourier decompositions and which are
th-power integrable in a neighborhood of the identity. A similar result is established in the context of compact Gelfand pairs.
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Additional Information
DOI:
https://doi.org/10.1090/S0002-9939-1993-1195713-7
Article copyright:
© Copyright 1993
American Mathematical Society