Berezin transform and Stratonovich–Weyl correspondence for the multi-dimensional Jacobi group
Rendiconti del Seminario Matematico della Università di Padova, Tome 136 (2016), pp. 69-93.

We study the Berezin transform and the Stratonovich–Weyl correspondence associated with a holomorphic representation of the multi-dimensional Jacobi group.

DOI : 10.4171/RSMUP/136-7
Classification : 22, 32, 46
Mots clés : Berezin quantization, Berezin transform, quasi-Hermitian Lie group, unitary representation, holomorphic representation, reproducing kernel Hilbert space, multidimensional Jacobi group, Stratonovich–Weyl correspondence
Cahen, Benjamin 1

1 Université de Metz, METZ CEDEX, FRANCE
@article{RSMUP_2016__136__69_0,
     author = {Cahen, Benjamin},
     title = {Berezin transform and {Stratonovich{\textendash}Weyl} correspondence for the multi-dimensional {Jacobi} group},
     journal = {Rendiconti del Seminario Matematico della Universit\`a di Padova},
     pages = {69--93},
     publisher = {European Mathematical Society Publishing House},
     address = {Zuerich, Switzerland},
     volume = {136},
     year = {2016},
     doi = {10.4171/RSMUP/136-7},
     url = {http://www.numdam.org/articles/10.4171/RSMUP/136-7/}
}
TY  - JOUR
AU  - Cahen, Benjamin
TI  - Berezin transform and Stratonovich–Weyl correspondence for the multi-dimensional Jacobi group
JO  - Rendiconti del Seminario Matematico della Università di Padova
PY  - 2016
SP  - 69
EP  - 93
VL  - 136
PB  - European Mathematical Society Publishing House
PP  - Zuerich, Switzerland
UR  - http://www.numdam.org/articles/10.4171/RSMUP/136-7/
DO  - 10.4171/RSMUP/136-7
ID  - RSMUP_2016__136__69_0
ER  - 
%0 Journal Article
%A Cahen, Benjamin
%T Berezin transform and Stratonovich–Weyl correspondence for the multi-dimensional Jacobi group
%J Rendiconti del Seminario Matematico della Università di Padova
%D 2016
%P 69-93
%V 136
%I European Mathematical Society Publishing House
%C Zuerich, Switzerland
%U http://www.numdam.org/articles/10.4171/RSMUP/136-7/
%R 10.4171/RSMUP/136-7
%F RSMUP_2016__136__69_0
Cahen, Benjamin. Berezin transform and Stratonovich–Weyl correspondence for the multi-dimensional Jacobi group. Rendiconti del Seminario Matematico della Università di Padova, Tome 136 (2016), pp. 69-93. doi : 10.4171/RSMUP/136-7. http://www.numdam.org/articles/10.4171/RSMUP/136-7/

Cité par Sources :