Open Access
August 2009 On a result of Saeki-Takahashi and a theorem of Bochner
Hiroshi YAMAGUCHI
Hokkaido Math. J. 38(3): 497-510 (August 2009). DOI: 10.14492/hokmj/1258553973

Abstract

Saeki extended the F. and M. Riesz theorem to $\mathbb{R}^N$ $(N \geqq 2)$, and Takahashi extended Saeki"s result to a LCA group. We give a result, which is relevant to theirs. We also give a strong version of Bochner"s generalization of the F. and M. Riesz theorem.

Citation

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Hiroshi YAMAGUCHI. "On a result of Saeki-Takahashi and a theorem of Bochner." Hokkaido Math. J. 38 (3) 497 - 510, August 2009. https://doi.org/10.14492/hokmj/1258553973

Information

Published: August 2009
First available in Project Euclid: 18 November 2009

zbMATH: 1187.43001
MathSciNet: MR2548232
Digital Object Identifier: 10.14492/hokmj/1258553973

Subjects:
Primary: 43A05
Secondary: 43A10 , 43A25

Keywords: Fourier transform , LCA group , measure , quasi-invariant

Rights: Copyright © 2009 Hokkaido University, Department of Mathematics

Vol.38 • No. 3 • August 2009
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