Integral formulas for the spherical polynomials of a root system of type \(BC_ 2\) (Q1328334)
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scientific article; zbMATH DE number 599818
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Integral formulas for the spherical polynomials of a root system of type \(BC_ 2\) |
scientific article; zbMATH DE number 599818 |
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Integral formulas for the spherical polynomials of a root system of type \(BC_ 2\) (English)
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7 August 1994
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One of the most important unsolved problems of non-commutative harmonic analysis is the determination of the spherical functions of symmetric spaces. \textit{T. Koornwinder} and \textit{I. Sprinkhuizen-Kuyper} proved the existence of the spherical polynomials \(P_{n,k}^{ (\alpha, \beta, u)}\) in rank 2 [SIAM J. Math. Anal. 9, 457-483 (1978; Zbl 0395.33008)]. The author gives another approach to the determination of the spherical polynomials \(P_{n,k}^{ (\alpha, \beta, u)}\) of a root system of type \(BC_ 2\).
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spherical polynomials
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root system
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