Mathematical Problems in Engineering
Volume 2011 (2011), Article ID 303460, 9 pages
http://dx.doi.org/10.1155/2011/303460
Research Article

A Note on Operator Sampling and Fractional Fourier Transform

Qingyue Zhang

Department of Mathematics and LPMC, Nankai University, Tianjin 300071, China

Received 28 June 2011; Accepted 12 July 2011

Academic Editor: Blas M. Vinagre

Copyright © 2011 Qingyue Zhang. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

This paper presents that the kernel of the fractional Fourier transform (FRFT) satisfies the operator version of Kramer's Lemma (Hong and Pfander, 2010), which gives a new applicability of Kramer's Lemma. Moreover, we give a new sampling formulae for reconstructing the operators which are bandlimited in the FRFT sense.