Titlebook: Analysis of Spherical Symmetries in Euclidean Spaces; Claus Müller Book 1998 Springer Science+Business Media New York 1998 Fourier transfo

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The Specific Theories,t data. We have seen that the Legendre polynomials contain all that is necessary to determine an orthonormal system of spherical harmonics. This chapter is therefore devoted to the .(q; ·) and their many relations and possibilities. This part contains only a selection of identities and special resul

LAP

Spherical Harmonics and Differential Equations,ean Δ. was dominant and the necessity to find many solutions of Δ. = 0 led to the method of separation of variables, which reduced the three-dimensional problems to three intertwined one-dimensional problems.

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Integral Transforms,sciences. The great success of the theories, commonly termed as Fourier analysis, is only one example of this development. Global integral transforms in ?. with relevance in mathematical physics, probability theory, or geometry have nearly always a property, which may be called “preservation of sphe

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Spherical Harmonics and Differential Equations,ean Δ. was dominant and the necessity to find many solutions of Δ. = 0 led to the method of separation of variables, which reduced the three-dimensional problems to three intertwined one-dimensional problems.

微枝末節(jié)

Integral Transforms,sciences. The great success of the theories, commonly termed as Fourier analysis, is only one example of this development. Global integral transforms in ?. with relevance in mathematical physics, probability theory, or geometry have nearly always a property, which may be called “preservation of spherical symmetry.”

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978-1-4612-6827-7Springer Science+Business Media New York 1998

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Claus MüllerSelf-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