Matrix Elements of Irreducible Representations of $SU(2) \times SU(2)$ and Vector-Valued Orthogonal Polynomials

Matrix Elements of Irreducible Representations of $SU(2) \times SU(2)$ and Vector-Valued Orthogonal Polynomials
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$SU(2) imes SU(2)$ 和向量值正交多项式的不可约表示的矩阵元素

DOI:
10.1137/0516044
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发表时间:
1982
影响因子:
2
通讯作者:
T. Koornwinder
T. Koornwinder
中科院分区:
数学2区
文献类型:
--
作者:
T. Koornwinder

文献摘要

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用向量值的正交多项式来表示$SU(2)×SU(2)$-基中$SU(2)×SU(2)$不可约表示的矩阵元素,推广了Jacobi多项式.
The matrix elements of irreducible representations of $SU(2) \times SU(2)$ in a ${\operatorname{diag}}SU(2) \times SU(2)$-basis are expressed in terms of vector-valued orthogonal polynomials, which generalize the Jacobi polynomials.