30 research outputs found

    A binomial-coefficient identity arising from the middle discrete series of SU(2,2)

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    The aim of this paper is to answer the question in Remark 8.2 of Takahiro Hayata, Harutaka Koseki, and Takayuki Oda, Matrix coefficients of the middle discrete series of SU(2; 2), J. Funct. Anal. 185 (2001), 297{341, by giving an elementary proof of certain identities on binomials

    Matrix coefficients of the middle discrete series of SU(2,2) II, the explicit asymptotic expansion

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    AbstractWe obtain the explicit asymptotic expansion of the matrix coefficients of the middle discrete series representation of SU(2,2) by means of degenerate Gaussian hypergeometric series
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