SPHERICAL HARMONICS ASSOCIATED TO THE LAPLACE–BESSEL OPERATOR AND GENERALIZED SPHERICAL CONVOLUTIONS-Reference-Cited by-同舟云学术

SPHERICAL HARMONICS ASSOCIATED TO THE LAPLACE–BESSEL OPERATOR AND GENERALIZED SPHERICAL CONVOLUTIONS

Published:2003-01 Issue:01 Volume:01 Page:81-109
ISSN:0219-5305
Container-title:Analysis and Applications
language:en
Short-container-title:Anal. Appl.

Author:

ALIEV ILHAM A.¹,RUBIN BORIS²

Affiliation:

1. Department of Mathematics, Akdeniz University, Antalya, 07058, Turkey

2. Institute of Mathematics, Hebrew University, Jerusalem, 91904, Israel

Abstract

A theory of spherical harmonics associated to the Laplace–Bessel differential operator is developed. Natural analogs of the Plancherel theory, the Laplace formula, the Funk–Hecke formula, the product formula, and the addition theorem are obtained. Symmetry properties of the Fourier–Bessel transform, decompositions of smooth functions, and convolution operators are studied.

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,Analysis

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0219530503000077

Reference51 articles.

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