Stratonovich-Weyl correspondence for the Jacobi group
Communications in Mathematics, Tome 22 (2014) no. 1, pp. 31-48
Voir la notice de l'article provenant de la source Czech Digital Mathematics Library
We construct and study a Stratonovich-Weyl correspondence for the holomorphic representations of the Jacobi group.
Classification :
22E10, 22E27, 32M05, 32M10, 32M15, 46E22, 81S10
Keywords: Berezin quantization; Berezin transform; quasi-Hermitian Lie group; unitary representation; holomorphic representation; reproducing kernel Hilbert space; Jacobi group; Stratonovich-Weyl correspondence; coadjoint orbit
Keywords: Berezin quantization; Berezin transform; quasi-Hermitian Lie group; unitary representation; holomorphic representation; reproducing kernel Hilbert space; Jacobi group; Stratonovich-Weyl correspondence; coadjoint orbit
@article{COMIM_2014__22_1_a2,
author = {Cahen, Benjamin},
title = {Stratonovich-Weyl correspondence for the {Jacobi} group},
journal = {Communications in Mathematics},
pages = {31--48},
publisher = {mathdoc},
volume = {22},
number = {1},
year = {2014},
mrnumber = {3233725},
zbl = {1304.22005},
language = {en},
url = {http://geodesic.mathdoc.fr/item/COMIM_2014__22_1_a2/}
}
Cahen, Benjamin. Stratonovich-Weyl correspondence for the Jacobi group. Communications in Mathematics, Tome 22 (2014) no. 1, pp. 31-48. http://geodesic.mathdoc.fr/item/COMIM_2014__22_1_a2/