Spherical functions on the Grassmann manifold and generalized Jacobi polynomials. 2

DOI10.1016/S0024-3795(98)10179-9zbMath0933.43007MaRDI QIDQ1300820

A. W. Davis

Publication date: 29 March 2000

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

zbMATH Keywords

spherical functionsGrassmann manifoldsLegendre and Gegenbauer polynomials

Mathematics Subject Classification ID

Basic orthogonal polynomials and functions (Askey-Wilson polynomials, etc.) (33D45) Harmonic analysis and spherical functions (43A90) Orthogonal polynomials and functions in several variables expressible in terms of special functions in one variable (33C50)

Related Items (3)

Spectral decomposition of discrepancy kernels on the Euclidean ball, the special orthogonal group, and the Grassmannian manifold ⋮ Reproducing kernels for the irreducible components of polynomial spaces on unions of Grassmannians ⋮ Points on manifolds with asymptotically optimal covering radius

Cites Work

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• Bessel functions of matrix argument
• Generalized Jacobi Polynomials as Spherical Functions of the Grassmann Manifold
• On non-compact groups I. Classification of non-compact real simple Lie groups and groups containing the Lorentz group
• Calculation of Zonal Polynomial Coefficients by Use of the Laplace-Beltrami Operator
• Some Non-Central Distribution Problems in Multivariate Analysis
• Normal Multivariate Analysis and the Orthogonal Group

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