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

Year: 2024

Type: article

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 ).

Source: Global Journal of Pure and Applied Sciences

DOI: 10.4314/gjpas.v30i4.13

Authors: U E Edeke, R D Ariyo, O C Dada

Language: English

Topic: Advanced Algebra and Geometry

Subfield: Mathematical Physics

Field: Mathematics

Domain: Physical Sciences

Open Access status: diamond

OpenAlex ID: W4404509854

FWCI: 0.674

Cites:

Cited by: 1

Related to: 10