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A unified characterization of reproducing systems generated by a finite family

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Abstract

This article presents a general result from the study of shift-invariant spaces that characterizes tight frame and dual frame generators for shift-invariant subspaces of L2(ℝn). A number of applications of this general result are then obtained, among which are the characterization of tight frames and dual frames for Gabor and wavelet systems.

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  1. Department of Mathematics, Washington University, 63130, St. Louis, MO

    Demetrio Labate

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  1. Demetrio Labate
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Correspondence to Demetrio Labate.

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Communicated by Guido Weiss

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Labate, D. A unified characterization of reproducing systems generated by a finite family. J Geom Anal 12, 469–491 (2002). https://doi.org/10.1007/BF02922050

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  • DOI: https://doi.org/10.1007/BF02922050

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