Analysis of spherical symmetries in Euclidean spaces

＜図書＞
Analysis of spherical symmetries in Euclidean spaces

責任表示	Claus Müller
シリーズ	Applied mathematical sciences ; v. 129
データ種別	図書
出版情報	New York : Springer , c1998
本文言語	英語
大きさ	viii, 223 p. ; 25 cm
概要	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. Based on many years of ...ecturing to mathematicians, physicists and engineers in scientific research institutions in Europe and the USA, the author uses elementary concepts to present the spherical harmonics in a theory of invariants of the orthogonal group. One of the highlights is the extension of the classical results of the spherical harmonics into the complex - 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. Numerous exercises stimulate mathematical ingenuity and bridge the gap between well-known elementary results and their appearance in the new formations. 続きを見る
電子版へのリンク	https://hdl.handle.net/2324/6869814

一般注記	Includes bibliographical references and index
著者標目	*Müller, Claus
件　名	LCSH:Spherical harmonics LCSH:Mathematical physics
分　類	LCC:QA1 LCC:QC20.7.S645 DC21:510 s DC21:515/.53 NDC8:413.54
書誌ID	1000927877
ISBN	0387949496
NCID	BA33829766
巻冊次	ISBN:0387949496
登録日	2009.09.16
更新日	2009.09.18