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Sampling of Paley-Wiener functions on stratified groups

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Abstract

We consider a generalization of entire functions of spherical exponential type on stratified groups. An analog of the Paley-Wiener theorem is given. We also show that every spectral entire function on a stratified group is uniquely determined by its values on some discrete subgroups. The main result of the article is reconstruction formula of spectral entire functions from their values on discrete subgroups using Lagrangian splines.

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Authors and Affiliations

  1. Department of Mathematics 038-16, Temple University, 19122, Philadelphia, PA

    Isaac Pesenson

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  1. Isaac Pesenson
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Communicated by Hans G. Feichtinger

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Pesenson, I. Sampling of Paley-Wiener functions on stratified groups. The Journal of Fourier Analysis and Applications 4, 271–281 (1998). https://doi.org/10.1007/BF02476027

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