zonal spherical harmonic

  • 1Zonal spherical function — In mathematics, a zonal spherical function or often just spherical function is a function on a locally compact group G with compact subgroup K (often a maximal compact subgroup) that arises as the matrix coefficient of a K invariant vector in an… …

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  • 2Spherical harmonics — In mathematics, the spherical harmonics are the angular portion of an orthogonal set of solutions to Laplace s equation represented in a system of spherical coordinates. Spherical harmonics are important in many theoretical and practical… …

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  • 3Plancherel theorem for spherical functions — In mathematics, the Plancherel theorem for spherical functions is an important result in the representation theory of semisimple Lie groups, due in its final form to Harish Chandra. It is a natural generalisation in non commutative harmonic… …

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  • 4Noncommutative harmonic analysis — In mathematics, noncommutative harmonic analysis is the field in which results from Fourier analysis are extended to topological groups which are not commutative. Since for locally compact abelian groups have a well understood theory, Pontryagin… …

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  • 5geoid — geoidal, adj. /jee oyd/, n. 1. an imaginary surface that coincides with mean sea level in the ocean and its extension through the continents. 2. the geometric figure formed by this surface, an ellipsoid flattened at the poles. [1880 85; < Gk&#8230; …

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  • 6Armónicos esféricos — Saltar a navegación, búsqueda En matemáticas, los armónicos esféricos son funciones armónicas que representan la variación espacial de un conjunto ortogonal de soluciones de la ecuación de Laplace cuando la solución se expresa en coordenadas&#8230; …

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  • 7Figure of the Earth — An oblate spheroid Geodesy …

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  • 8Unitary representation — In mathematics, a unitary representation of a group G is a linear representation π of G on a complex Hilbert space V such that π( g ) is a unitary operator for every g ∈ G . The general theory is well developed in case G is a locally compact&#8230; …

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  • 9N!-conjecture — In mathematics, the n! conjecture is the conjecture that the dimension of a certain bi graded module of diagonal harmonics is n!. It was made by A. M. Garsia and proved by M. Haiman. It implies Macdonald s positivity conjecture about his&#8230; …

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  • 10United States Space Surveillance Network — Space surveillance is a critical part of United States Strategic Command s (USSTRATCOM) mission and involves detecting, tracking, cataloging and identifying man made objects orbiting Earth, i.e. active/inactive satellites, spent rocket bodies, or …

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