Analysis of Spherical Symmetries in Euclidean Spaces

This self-contained book offers a new and direct approach to the theories of special functions with emphasis on spherical symmetry in Euclidean spaces of arbitrary dimensions. Written after many years of lecturing to mathematicians, physicists and engineers in scientific research institutions in Europe and the USA, it uses elementary concepts to present the spherical harmonics in a theory of invariants of the orthogonal group. One of the highlights of this book is the extension of the classical results of the spherical harmonics into the complex. This is particularly important for the complexification of the Funk-Hecke formula which successfully leads to new integrals for Bessel- and Hankel functions with many applications of Fourier integrals and Radon transforms. Exercises have been included to stimulate mathematical ingenuity and to bridge the gap between well known elementary results and their appearance in the new formations.

Year

1998

Language

English

Series

Applied Mathematical Sciences -- 129

Publisher

Springer New York

Editions

1

Pages

226

ISBN

9781461268277

Data source: Wikidata