Rendiconti del Seminario Matematico della Università di Padova


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Volume 136, 2016, pp. 265–275
DOI: 10.4171/RSMUP/136-17

Berezin transform and Stratonovich–Weyl correspondence for the multi-dimensional Jacobi group (addendum)

Benjamin Cahen[1]

(1) Dép. de Mathématiques, LMMAS, ISGMP, Université de Metz, Ile de Saulcy, 57045, Metz CEDEX, France

We extend the results of [13] to the holomorphic representations of the nonscalar type of the multi-dimensional Jacobi group.

Keywords: Berezin quantization, Berezin transform, quasi-Hermitian Lie group, multidimensional Jacobi group, unitary representation, holomorphic representation of the non-scalar type, Stratonovich–Weyl correspondence

Cahen Benjamin: Berezin transform and Stratonovich–Weyl correspondence for the multi-dimensional Jacobi group (addendum). Rend. Sem. Mat. Univ. Padova 136 (2016), 265-275. doi: 10.4171/RSMUP/136-17