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Finite Rank Bargmann-Toeplitz Operators with Non-Compactly Supported Symbols

Published 22 Mar 2012 in math.FA and math.CV | (1203.4927v2)

Abstract: Theorems about characterization of finite rank Toeplitz operators in Fock-Segal-Bargmann spaces, known previously only for symbols with compact support, are carried over to symbols without that restriction, however with a rather rapid decay at infinity. The proof is based upon a new version of the Stone-Weierstrass approximation theorem.

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