Invertibility of Toeplitz operators with polyanalytic symbols
classification
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math.CV
keywords
operatortoeplitzinvertibilityoperatorspolyanalyticbergmancertaincoefficients
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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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