RT Journal Article
T1 A Paley–Wiener theorem for Bergman spaces with application to invariant subspaces
A1 Duren, Peter
A1 Gallardo Gutiérrez, Eva A.
A1 Montes Rodríguez, Alfonso
AB 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).
PB London Mathematical Society
SN 1469-2120
YR 2007
FD 2007
LK https://hdl.handle.net/20.500.14352/50601
UL https://hdl.handle.net/20.500.14352/50601
LA eng
NO Plan Nacional I+D
NO Junta de Andalucía
NO Secretaría de Estado de Educación y Universidades
DS Docta Complutense
RD 8 may 2024