The Jacobi group and its holomorphic discrete series representations on Siegel--Jacobi domains
Vestnik rossijskih universitetov. Matematika, Tome 24 (2019) no. 128, pp. 345-353

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This is the summary of a part of the talk delivered at the workshop held at the Tambov University in September 2012, reporting several results on Jacobi groups and its holomorphic representations published by the authors.
Keywords: Jacobi group; Siegel–Jacobi domain; canonical automorphy factor; canonical kernel function; scalar holomorphic discrete series.
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     title = {The {Jacobi} group and its holomorphic discrete series representations on {Siegel--Jacobi} domains},
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S. Berceanu; A. Gheorghe. The Jacobi group and its holomorphic discrete series representations on Siegel--Jacobi domains. Vestnik rossijskih universitetov. Matematika, Tome 24 (2019) no. 128, pp. 345-353. http://geodesic.mathdoc.fr/item/VTAMU_2019_24_128_a0/