We construct a Frechet space as a subspace of C^\omega(C^n) where the Wick
star product converges and is continuous. The resulting Frechet algebra A_h is
studied in detail including a *-representation of A_h in the Bargmann-Fock
space and a discussion of star exponentials and coherent states.
@article{0506605,
author = {Beiser, Svea and Roemer, Hartmann and Waldmann, Stefan},
title = {Convergence of the Wick Star Product},
journal = {arXiv},
volume = {2005},
number = {0},
year = {2005},
language = {en},
url = {http://dml.mathdoc.fr/item/0506605}
}
Beiser, Svea; Roemer, Hartmann; Waldmann, Stefan. Convergence of the Wick Star Product. arXiv, Tome 2005 (2005) no. 0, . http://gdmltest.u-ga.fr/item/0506605/