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

ALİYEV İ., Rubin B.

ANALYSIS AND APPLICATIONS, cilt.1, sa.1, ss.81-109, 2003 (SCI-Expanded) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 1 Sayı: 1
  • Basım Tarihi: 2003
  • Doi Numarası: 10.1142/s0219530503000077
  • Dergi Adı: ANALYSIS AND APPLICATIONS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, Aerospace Database, Communication Abstracts, MathSciNet, Metadex, zbMATH, Civil Engineering Abstracts
  • Sayfa Sayıları: ss.81-109
  • Anahtar Kelimeler: Spherical harmonics, Fourier-Bessel transform, spherical convolutions
  • Akdeniz Üniversitesi Adresli: Evet

Özet

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.