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作者 Müller, Claus
書名 Analysis of Spherical Symmetries in Euclidean Spaces [electronic resource] / by Claus Müller
出版項 New York, NY : Springer New York, 1998
國際標準書號 9781461205814 (electronic bk.)
1461205816 (electronic bk.)
book jacket
說明 1 online resource (viii, 226 pages)
text txt rdacontent
computer c rdamedia
online resource cr rdacarrier
系列 Applied Mathematical Sciences, 0066-5452 ; 129
Applied mathematical sciences (Springer-Verlag New York Inc.) ; 129
附註 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
鏈接 Print version: 9781461268277
主題 Mathematics
Chemistry -- Mathematics
Global analysis (Mathematics)
Electronic books
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