%0 Journal Article
%A Duren, Peter
%A Gallardo Gutiérrez, Eva A.
%A Montes Rodríguez, Alfonso
%T A Paley–Wiener theorem for Bergman spaces with application to invariant subspaces
%D 2007
%@ 1469-2120
%U https://hdl.handle.net/20.500.14352/50601
%X 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).
%~