Reflection Groups and Orthogonal Polynomials on the Sphere.
Charles F. Dunkl (1988)
Mathematische Zeitschrift
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Displaying similar documents to “Cube Groups Invariant Spherical Harmonics and Krawtchouk Polynomials.”
Reflection Groups and Orthogonal Polynomials on the Sphere.
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Asymptotic spherical analysis on the Heisenberg group
Jacques Faraut (2010)
Colloquium Mathematicae
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The asymptotics of spherical functions for large dimensions are related to spherical functions for Olshanski spherical pairs. In this paper we consider inductive limits of Gelfand pairs associated to the Heisenberg group. The group K = U(n) × U(p) acts multiplicity free on 𝓟(V), the space of polynomials on V = M(n,p;ℂ), the space of n × p complex matrices. The group K acts also on the Heisenberg group H = V × ℝ. By a result of Carcano, the pair (G,K) with G = K ⋉ H is a Gelfand pair....
On an Associated Function of Hermite Polynomials.
S.K. Chatterjea (1962)
Mathematische Zeitschrift
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A New Class of Polynomials Relevant to Electron Collision Problems.
Moses E. Cohen (1968/69)
Mathematische Zeitschrift
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