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

Access to Document

10.1007/s00041-012-9239-0

Cite this

@article{f6db6c3904d24a2188a0f1832a75730c,

title = "On the One Sided Translates of Powers of Continuous Functions on Locally Compact Groups",

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.",

keywords = "One sided translates, Symmetric spaces",

author = "Yitzhak Weit",

year = "2012",

month = dec,

doi = "10.1007/s00041-012-9239-0",

language = "English",

volume = "18",

pages = "1314--1317",

journal = "Journal of Fourier Analysis and Applications",

issn = "1069-5869",

publisher = "Birkhauser Boston",

number = "6",

}

TY - JOUR

T1 - On the One Sided Translates of Powers of Continuous Functions on Locally Compact Groups

AU - Weit, Yitzhak

PY - 2012/12

Y1 - 2012/12

N2 - 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.

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.

KW - One sided translates

KW - Symmetric spaces

UR - https://www.scopus.com/pages/publications/84870776086

U2 - 10.1007/s00041-012-9239-0

DO - 10.1007/s00041-012-9239-0

M3 - Article

AN - SCOPUS:84870776086

SN - 1069-5869

VL - 18

SP - 1314

EP - 1317

JO - Journal of Fourier Analysis and Applications

JF - Journal of Fourier Analysis and Applications

IS - 6

ER -

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

Abstract

Keywords

ASJC Scopus subject areas

Access to Document

Other files and links

Fingerprint

Cite this