| ID | 56325 |
| FullText URL | |
| Author |
Cahen, Benjamin
D´epartement de math´ematiques Universit´e de Lorraine
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| Abstract | We introduce a Schr¨odinger model for the generic representations of a Heisenberg motion group and we construct adapted Weyl correspondences for these representations by adapting the method introduced in [ B. Cahen, Weyl quantization for semidirect products, Differential Geom. Appl. 25 (2007), 177-190].
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| Keywords | Weyl correspondence
Berezin quantization
Heisenberg motion group
Schr¨odinger representation
Bargmann-Fock representation
Segal-Bargmann transform
unitary representation
coadjoint orbit
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| Note | Mathematics Subject Classification. Primary 22E45; Secondary 22E70, 22E20, 81S10,
81R30.
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| Published Date | 2019-01
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| Publication Title |
Mathematical Journal of Okayama University
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| Volume | volume61
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| Issue | issue1
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| Publisher | Department of Mathematics, Faculty of Science, Okayama University
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| Start Page | 19
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| End Page | 35
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| ISSN | 0030-1566
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| NCID | AA00723502
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| Content Type |
Journal Article
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| language |
English
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| Copyright Holders | Copyright©2019 by the Editorial Board of Mathematical Journal of Okayama University
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| File Version | publisher
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| Refereed |
True
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| Submission Path | mjou/vol59/iss1/2
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