Fourier-like frames on locally compact abelian groups

Ole Christensen, Say Song Goh

Research output: Contribution to journalJournal articleResearchpeer-review

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.
Original languageEnglish
JournalJournal of Approximation Theory
Volume192
Pages (from-to)82-101
ISSN0021-9045
DOIs
Publication statusPublished - 2015

Keywords

  • MATHEMATICS
  • SYSTEMS

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