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Convergence of the Wick Star Product

Svea Beiser, Hartmann Roemer, Stefan Waldmann

math.QAarXiv:math/0506605

Abstract

We construct a Frechet space as a subspace of Cω(Cn) where the Wick star product converges and is continuous. The resulting Frechet algebra Ah is studied in detail including a *-representation of Ah in the Bargmann-Fock space and a discussion of star exponentials and coherent states.

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