On the One Sided Translates of Powers of Continuous Functions on Locally Compact Groups

Yitzhak Weit

doi:10.1007/s00041-012-9239-0

On the One Sided Translates of Powers of Continuous Functions on Locally Compact Groups

Yitzhak Weit

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

Abstract

We prove that the one sided translates of powers of a real valued continuous (respectively compactly supported) function with a unique maximum (or minimum) span a dense subspace in C(G) and C(X) (respectively in L^P(G) and L^P(X)) for any locally compact group G and for any Riemannian symmetric space X.

Original language	English
Pages (from-to)	1314-1317
Number of pages	4
Journal	Journal of Fourier Analysis and Applications
Volume	18
Issue number	6
DOIs	https://doi.org/10.1007/s00041-012-9239-0
State	Published - Dec 2012

Keywords

One sided translates
Symmetric spaces

ASJC Scopus subject areas

Analysis
General Mathematics
Applied Mathematics

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10.1007/s00041-012-9239-0

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abstract = "We prove that the one sided translates of powers of a real valued continuous (respectively compactly supported) function with a unique maximum (or minimum) span a dense subspace in C(G) and C(X) (respectively in LP(G) and LP(X)) for any locally compact group G and for any Riemannian symmetric space X.",

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author = "Yitzhak Weit",

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AB - We prove that the one sided translates of powers of a real valued continuous (respectively compactly supported) function with a unique maximum (or minimum) span a dense subspace in C(G) and C(X) (respectively in LP(G) and LP(X)) for any locally compact group G and for any Riemannian symmetric space X.

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On the One Sided Translates of Powers of Continuous Functions on Locally Compact Groups

Abstract

Keywords

ASJC Scopus subject areas

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