Fourier-like frames on locally compact abelian groups

نویسندگان

  • Ole Christensen
  • Say Song Goh
چکیده

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.

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عنوان ژورنال:
  • Journal of Approximation Theory

دوره 192  شماره 

صفحات  -

تاریخ انتشار 2015