Vol. 251, No. 1, 2011

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A Beurling–Hörmander theorem associated with the Riemann–Liouville operator

XueCheng Wang

Vol. 251 (2011), No. 1, 239–255
Abstract

We establish an analogue of the Beurling theorem associated with the Riemann–Liouville operator. We also derive some other versions of uncertainty principle theorems associated with this operator.

Keywords
uncertainty principle, Riemann–Liouville operator, Beurling–Hörmander theorem, Riemann–Liouville transform
Mathematical Subject Classification 2000
Primary: 33C45, 42B10
Milestones
Received: 23 February 2010
Revised: 12 October 2010
Accepted: 7 December 2010
Published: 22 April 2011

Proposed: Jie Qing
Authors
XueCheng Wang
China Economics and Management Academy
Central University of Finance and Economics
Xueyuan South Road #39, Haidian District
Beijing 100081
China