A New Form of the Spherical Expansion of Zonal Functions and Fourier Transforms of SO(d)-Finite Functions

A New Form of the Spherical Expansion of Zonal Functions and Fourier Transforms of SO(d)-Finite Functions

This paper presents recent results obtained by the authors (partly in collaboration with A. Dabrowska) concerning expansions of zonal functions on Euclidean spheres into spherical harmonics and some applications of such expansions for problems involving Fourier transforms of functions with rotationa...

Full description

Bibliographic Details
Main Authors: Agata Bezubik, Aleksander Strasburger
Format: Article
Language:English
Published: National Academy of Science of Ukraine 2006-03-01
Series:Symmetry, Integrability and Geometry: Methods and Applications
Subjects:
spherical harmonics
zonal harmonic polynomials
Fourier-Laplace expansions
special orthogonal group
Bessel functions
Fourier transform
Bochner identity
Online Access:http://www.emis.de/journals/SIGMA/2006/Paper033/

Internet

http://www.emis.de/journals/SIGMA/2006/Paper033/

Similar Items