Invertibility of Toeplitz operators with polyanalytic symbols

Published 19 Feb 2017 in math.FA and math.CV | (1702.05772v2)

Abstract: Given a polyanalytic function, we show that the corresponding Toeplitz operator on the Bergman space of the unit disc can be expressed as a quotient of certain differential operators with holomorphic coefficients. This enables us to obtain several operator theoretic results including a criterion for invertibility of a Toeplitz operator.

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Authors (1)

Akaki Tikaradze

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