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arxiv: math/0506605 · v1 · submitted 2005-06-29 · 🧮 math.QA · math-ph· math.MP

Convergence of the Wick Star Product

classification 🧮 math.QA math-phmath.MP
keywords starfrechetproductspacewickalgebrabargmann-fockcoherent
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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.

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