Intuitive 发表于 2025-3-23 10:36:13

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 发表于 2025-3-23 17:00:14

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.

incarcerate 发表于 2025-3-23 18:08:26

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 ℝ. with relevance in mathematical physics, probability theory, or geometry have nearly always a property, which may be called “preservation of sphe

虚构的东西 发表于 2025-3-24 00:40:20

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是突袭 发表于 2025-3-24 03:39:34

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Hangar 发表于 2025-3-24 08:49:53

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.

微枝末节 发表于 2025-3-24 13:01:09

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 ℝ. with relevance in mathematical physics, probability theory, or geometry have nearly always a property, which may be called “preservation of spherical symmetry.”

gangrene 发表于 2025-3-24 15:04:48

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愤怒事实 发表于 2025-3-24 20:26:31

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

调味品 发表于 2025-3-24 23:28:04

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