Abstract
Let G be a metrizable, -compact locally compact abelian group with a compact open subgroup. In this paper we dene the Gramian and the dual Gramian operators for shift invariant subspaces of L2( G) and we use them to characterize shift generated dual frames for shift in- variant spaces, which forms a frame for a subspace of L2( G). We present necessary and sufficient conditions for which standard dual is a unique SG-dual frame of type I and type II.
Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
