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1 зональная сферическая функция
Русско-английский научно-технический словарь Масловского > зональная сферическая функция
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2 зональная сферическая функция
Mathematics: zonal harmonic, zonal spherical functionУниверсальный русско-английский словарь > зональная сферическая функция
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Zonal 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… … Wikipedia
Spherical function — can refer to* Spherical harmonics *Zonal spherical function … Wikipedia
Plancherel 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… … Wikipedia
Spherical 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… … Wikipedia
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N!-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… … Wikipedia
Macdonald polynomial — In mathematics, Macdonald polynomials P λ are a two parameter family of orthogonal polynomials indexed by a positive weight λ of a root system, introduced by Ian G. Macdonald (1987). They generalize several other families of orthogonal… … Wikipedia
Unitary 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… … Wikipedia
Noncommutative 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… … Wikipedia
geoid — 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… … Universalium
n! 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 M. Haiman and later proved by M. Haiman. It implies Macdonald s positivity… … Wikipedia