Berezin transform and Stratonovich–Weyl correspondence for the multi-dimensional Jacobi group
Cahen, Benjamin1
1 Université de Metz, METZ CEDEX, FRANCE
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 
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     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/}
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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/

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