Publication: A Paley–Wiener theorem for Bergman spaces with application to invariant subspaces
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Publication Date
2007
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London Mathematical Society
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Abstract
An analogue of the Paley-Wiener theorem is developed for weighted Bergman spaces of analytic functions in the upper half-plane. The result is applied to show that the invariant subspaces of the shift operator on the standard Bergman space of the unit disk can be identified with those of a convolution Volterra operator on the space L 2 (ℝ + ,(1/t)dt).