Please use this identifier to cite or link to this item:
http://hdl.handle.net/10077/10636
Title: | Stratonovich-Weyl correspondence via Berezin quantization | Authors: | Cahen, Benjamin | Keywords: | Stratonovich-Weyl correspondence; Berezin quantization; Berezin transform; quasi-Hermitian Lie group; coadjoint orbit; unitary representation; holomorphic representation; reproducing kernel Hilbert space; Heisenberg motion group | Issue Date: | 23-Dec-2014 | Series/Report no.: | Rendiconti dell’Istituto di Matematica dell’Università di Trieste. An International Journal of Mathematics 46 (2014) |
Abstract: | Let G be a quasi-Hermitian Lie group and let K be a maximal compactly embedded subgroup of G. Let π be aunitary representation of G which is holomorphically induced from a unitary representation ρ of K. We introduce and study a notion of complex-valued Berezin symbol for an operator acting on the space of π and the corresponding notion of Stratonovich-Weyl correspondence. This generalizes some results already obtained in the case when ρ is an unitary character, see [19]. As an example, we treat in detail the case of the Heisenberg motion groups. |
Description: | Benjamin Cahen, "Stratonovich-Weyl correspondence via Berezin quantization", in: Rendiconti dell’Istituto di Matematica dell’Università di Trieste. An International Journal of Mathematics, 46 (2014), pp.157-180 |
Type: | Article | URI: | http://hdl.handle.net/10077/10636 | ISSN: | 0049-4704 |
Appears in Collections: | Rendiconti dell'Istituto di Matematica dell'Università di Trieste: an International Journal of Mathematics vol.46 (2014) |
Files in This Item:
File | Description | Size | Format | |
---|---|---|---|---|
RIMUT_46_Cahen.pdf | 377.08 kB | Adobe PDF | ![]() View/Open |
CORE Recommender
Page view(s) 50
575
checked on Jan 29, 2023
Download(s) 50
479
checked on Jan 29, 2023
Google ScholarTM
Check
This item is licensed under a Creative Commons License