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Fourier-like frames on locally compact abelian groups

Authors
  • Christensen, Ole
  • Goh, Say Song
Publication Date
Jan 01, 2015
Source
Online Research Database In Technology
Keywords
Language
English
License
Unknown
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Abstract

We consider a class of functions, defined on a locally compact abelian group by letting a class of modulation operators act on a countable collection of functions. We derive sufficient conditions for such a class of functions to form a Bessel sequence or a frame and for two such systems to be dual frames. Explicit constructions are obtained via various generalizations of the classical B-splines to the setting of locally compact abelian groups. (C) 2014 Elsevier Inc. All rights reserved.

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