Analysis of Spherical Symmetries in Euclidean Spaces
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Beschreibung
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
Self-contained work * Much material published here for the first time * Uses elementary concepts of the theory of invariants of orthogonal groups and harmonics Results treated in an appendix to avoid disrupting the course of the ideas
Autor*in
Claus Müller
Themen in »Analysis of Spherical Symmetries in Euclidean Spaces«
Fourier transform Hypergeometric function calculus differential equation integral transform operator