Published January 1, 2003
| Version v1
Journal article
Open
SPHERICAL HARMONICS ASSOCIATED TO THE LAPLACE-BESSEL OPERATOR AND GENERALIZED SPHERICAL CONVOLUTIONS
Creators
- 1. Akdeniz Univ, Dept Math, TR-07058 Antalya, Turkey
- 2. Hebrew Univ Jerusalem, Inst Math, IL-91904 Jerusalem, Israel
Description
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.
Files
bib-3fb1b2a8-85bb-4654-8f9e-65db8a6e5f13.txt
Files
(172 Bytes)
| Name | Size | Download all |
|---|---|---|
|
md5:9cfad768bfc7133f0f38af65cc2d21ae
|
172 Bytes | Preview Download |