Geodesic
Contraction of Discrete Series via Berezin Quantization
Journal of Lie theory, Tome 19 (2009) no. 2, pp. 291-31

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 
@article{JLT_2009_19_2_JLT_2009_19_2_a7,
     author = {B. Cahen },
     title = {Contraction of {Discrete} {Series} via {Berezin} {Quantization}},
     journal = {Journal of Lie theory},
     pages = {291--31},
     publisher = {mathdoc},
     volume = {19},
     number = {2},
     year = {2009},
     url = {http://geodesic.mathdoc.fr/item/JLT_2009_19_2_JLT_2009_19_2_a7/}
}
TY  - JOUR
AU  - B. Cahen 
TI  - Contraction of Discrete Series via Berezin Quantization
JO  - Journal of Lie theory
PY  - 2009
SP  - 291
EP  - 31
VL  - 19
IS  - 2
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/JLT_2009_19_2_JLT_2009_19_2_a7/
ID  - JLT_2009_19_2_JLT_2009_19_2_a7
ER  - 
%0 Journal Article
%A B. Cahen 
%T Contraction of Discrete Series via Berezin Quantization
%J Journal of Lie theory
%D 2009
%P 291-31
%V 19
%N 2
%I mathdoc
%U http://geodesic.mathdoc.fr/item/JLT_2009_19_2_JLT_2009_19_2_a7/
%F JLT_2009_19_2_JLT_2009_19_2_a7
B. Cahen . Contraction of Discrete Series via Berezin Quantization. Journal of Lie theory, Tome 19 (2009) no. 2, pp. 291-31. http://geodesic.mathdoc.fr/item/JLT_2009_19_2_JLT_2009_19_2_a7/