Yayınlanmış 1 Ocak 2003
| Sürüm v1
Dergi makalesi
Açık
SPHERICAL HARMONICS ASSOCIATED TO THE LAPLACE-BESSEL OPERATOR AND GENERALIZED SPHERICAL CONVOLUTIONS
Oluşturanlar
- 1. Akdeniz Univ, Dept Math, TR-07058 Antalya, Turkey
- 2. Hebrew Univ Jerusalem, Inst Math, IL-91904 Jerusalem, Israel
Açıklama
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.
Dosyalar
bib-3fb1b2a8-85bb-4654-8f9e-65db8a6e5f13.txt
Dosyalar
(172 Bytes)
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