On the one-sided Wiener’s Theorem for the motion group on RN

Yitzhak Weit

doi:10.1007/BF02772699

On the one-sided Wiener’s Theorem for the motion group on R^N

Yitzhak Weit

Department of Mathematics

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

Abstract

It is proved that the one-sided Wiener’s Theorem does not hold for the motion group SO(N)⋊R^N. That is, there exists a proper closed right ideal in L₁(SO(N)⋊R^N) which is not contained in any closed maximal right ideal.

Original language	English
Pages (from-to)	111-120
Number of pages	10
Journal	Israel Journal of Mathematics
Volume	55
Issue number	1
DOIs	https://doi.org/10.1007/BF02772699
State	Published - Feb 1986

ASJC Scopus subject areas

General Mathematics

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abstract = "It is proved that the one-sided Wiener{\textquoteright}s Theorem does not hold for the motion group SO(N)⋊RN. That is, there exists a proper closed right ideal in L1(SO(N)⋊RN) which is not contained in any closed maximal right ideal.",

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AB - It is proved that the one-sided Wiener’s Theorem does not hold for the motion group SO(N)⋊RN. That is, there exists a proper closed right ideal in L1(SO(N)⋊RN) which is not contained in any closed maximal right ideal.

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On the one-sided Wiener’s Theorem for the motion group on R^N

Abstract

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