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A Sampling Theorem

  • M. W. Wong
Part of the Operator Theory: Advances and Applications book series (OT, volume 136)

Abstract

As an application of the fact that the range of the wavelet transform associated to an admissible wavelet for an irreducible and square-integrable representation is a reproducing kernel Hilbert space, we give in this chapter a sampling theorem on a locally compact and Hausdorff group. This is an analogue of Shannon’s sampling theorem given in Section 2.4 of the book [7] by Blatter and Section 2.1 of the book [13] by Daubechies among others. The origin of the theorem is rooted in the papers [79, 80] by Shannon

Copyright information

© Springer Basel AG 2002

Authors and Affiliations

  • M. W. Wong
    • 1
  1. 1.Department of Mathematics and StatisticsYork UniversityTorontoCanada

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