A Class Of Positive Definite Spherical Functions On The Euclidean Motion Groups

Let be the Euclidean motion group realized as the semi-direct product of and . Let be a compact subgroup of . The set of positive definite spherical functions on is studied. Among other things, a result of Bochner which characterizes a K- bi-invariant positive definite spherical function in any locally compact group, is extended to the Gelfand pair ).

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Publication Details

Journal
Global Journal of Pure and Applied Science
Published
2024-11-12
DOI
https://doi.org/10.4314/gjpas.v30i4.13
Primary Topic
Algebraic and Geometric Analysis
Type
article
Field-Weighted Citation Impact
0.00
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article

A Class Of Positive Definite Spherical Functions On The Euclidean Motion Groups

U. E. Edeke, R.D. Ariyo, O.C. Dada
Global Journal of Pure and Applied Science
Algebraic and Geometric Analysis
article

A Class Of Positive Definite Spherical Functions On The Euclidean Motion Groups

U. E. Edeke, R.D. Ariyo, O.C. Dada
article en

Abstract

Let be the Euclidean motion group realized as the semi-direct product of and . Let be a compact subgroup of . The set of positive definite spherical functions on is studied. Among other things, a result of Bochner which characterizes a K- bi-invariant positive definite spherical function in any locally compact group, is extended to the Gelfand pair ).

Global Journal of Pure and Applied ScienceVol. 30(4)
Openalex Percentile: Top 66%
Algebraic and Geometric Analysis
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A Class Of Positive Definite Spherical Functions On The Euclidean Motion Groups — U. E. Edeke, R.D. Ariyo, et al. · Global Journal of Pure and Applied Science (2024) | TGRS Research Map | TGRS