Geodesic
Contraction of Discrete Series via Berezin Quantization
Benjamin Cahen1
1Dép. de Mathématiques, LMMAS -- ISGMP-Bat. A, Ile du Saulcy, 57045 Metz 01, France
Journal of Lie Theory, Tome 19 (2009) no. 2, pp. 291-310

Voir la notice de l'article provenant de la source Heldermann Verlag

We establish and study a contraction of the holomorphic discrete series representations of a non-compact semi-simple Lie group to the unitary irreducible representations of a Heisenberg group by means of Berezin quantization.
Classification : 22E46, 81R30, 46E22
Mots-clés : Contraction of representations, holomorphic discrete series, semisimple Lie group, reproducing kernel Hilbert space, coherent states, Berezin quantization, Berezin symbols

Benjamin Cahen  1

1 Dép. de Mathématiques, LMMAS -- ISGMP-Bat. A, Ile du Saulcy, 57045 Metz 01, France 
Benjamin Cahen. Contraction of Discrete Series via Berezin Quantization. Journal of Lie Theory, Tome 19 (2009) no. 2, pp. 291-310. http://geodesic.mathdoc.fr/item/JOLT_2009_19_2_a7/
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     title = {Contraction of {Discrete} {Series} via {Berezin} {Quantization}},
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     pages = {291--310},
     year = {2009},
     volume = {19},
     number = {2},
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