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A Note on Operator Sampling and Fractional Fourier Transform

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  • Qingyue Zhang

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.

Suggested Citation

  • Qingyue Zhang, 2011. "A Note on Operator Sampling and Fractional Fourier Transform," Mathematical Problems in Engineering, Hindawi, vol. 2011, pages 1-9, September.
  • Handle: RePEc:hin:jnlmpe:303460
    DOI: 10.1155/2011/303460
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