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Irregular Sampling in Wavelet Subspaces

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Abstract

As a particular wavelet subspace, the Paley-Wiener space \(B_{\pi}\) has both regular and irregular sampling theorems. A regular sampling theorem in general wavelet subspaces has been established for several years. In this paper, we discuss the irregular sampling problem in wavelet subspaces.

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Authors and Affiliations

  1. Center for Mathematical Science, Zhejiang University, Hangzhou, Zhejiang 310027, People's Republic of China

    Y.M. Liu

  2. Department of Mathematical Sciences, University of Wisconsin-Milwaukee, Milwaukee, WI 53201, USA

    G.G. Walter

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  1. Y.M. Liu
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  2. G.G. Walter
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Liu, Y., Walter, G. Irregular Sampling in Wavelet Subspaces. J Fourier Anal Appl 2, 181–189 (1995). https://doi.org/10.1007/s00041-001-4027-2

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  • DOI: https://doi.org/10.1007/s00041-001-4027-2

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