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Russian Universities Reports. Mathematics, 2019, Volume 24, Issue 128, Pages 345–353
DOI: https://doi.org/10.20310/2686-9667-2019-24-128-345-353 (Mi vtamu158) 		 
Scientific articles

The Jacobi group and its holomorphic discrete series representations on Siegel–Jacobi domains

S. Berceanu, A. Gheorghe

Horia Hulubei National Institute for R&D in Physics and Nuclear Engineering
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DOI: https://doi.org/10.20310/2686-9667-2019-24-128-345-353
Abstract: 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.
Funding agency Grant number
Autoritatea Nationala pentru Cercetare Stiintifica si Inovare PN09 37 01 02/2009
Unitatea Executiva pentru Finantarea Invatamantului Superior, a Cercetarii, Dezvoltarii si Inovarii, Romania  55/05.10.2011
The work is partially supported by the ANCS project programs PN 09 37 01 02/2009 and by the UEFISCDI-Romania PN-II (contract no. 55/05.10.2011).
Received: 26.08.2019
Document Type: Article
UDC: 512.54, 512.817
Language: Russian
Citation: S. Berceanu, A. Gheorghe, “The Jacobi group and its holomorphic discrete series representations on Siegel–Jacobi domains”, Russian Universities Reports. Mathematics, 24:128 (2019), 345–353
Citation in format AMSBIB
\Bibitem{BerGhe19}
\by S.~Berceanu, A.~Gheorghe
\paper The Jacobi group and its holomorphic discrete series representations on Siegel--Jacobi domains
\jour Russian Universities Reports. Mathematics
\yr 2019
\vol 24
\issue 128
\pages 345--353
\mathnet{http://mi.mathnet.ru/vtamu158}
\crossref{https://doi.org/10.20310/2686-9667-2019-24-128-345-353}
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