Impacto
Downloads
Downloads per month over past year
Duren, Peter and Gallardo Gutiérrez, Eva A. and Montes Rodríguez, Alfonso (2007) A Paley–Wiener theorem for Bergman spaces with application to invariant subspaces. Bulletin of the London Mathematical Society, 39 (3). pp. 459-466. ISSN 1469-2120
![[thumbnail of Gallardo13oficial.pdf]](/style/images/fileicons/application_pdf.png) |
PDF
Restringido a Repository staff only 164kB |
Official URL: http://blms.oxfordjournals.org/content/39/3/459.full.pdf+html
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).
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | MSC 2010 30H05 Bounded analytic functions; Hilbert spaces of continuous, differentiable or analytic functions; Invariant subspaces of linear operators |
| Subjects: | Sciences > Mathematics > Mathematical analysis |
| ID Code: | 21070 |
| Deposited On: | 25 Apr 2013 11:29 |
| Last Modified: | 05 Sep 2018 16:36 |
Origin of downloads
Repository Staff Only: item control page
