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Analysis of Spherical Symmetries in Euclidean Spaces (Paperback, Softcover reprint of the original 1st ed. 1998)
Loot Price: R1,540
Discovery Miles 15 400
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Analysis of Spherical Symmetries in Euclidean Spaces (Paperback, Softcover reprint of the original 1st ed. 1998)
Series: Applied Mathematical Sciences, 129
Expected to ship within 10 - 15 working days
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Total price: R1,560
Discovery Miles: 15 600
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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
lecturing 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.
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