Properties of translates of frames on Vilenkin group
Prasadini Mahapatra, Divya Singh
TL;DR
This paper investigates the properties of translates of square integrable functions on Vilenkin groups, providing conditions for when these translates form frame sequences using the C-bracket.
Contribution
It introduces necessary and sufficient conditions for frame sequences generated by translates on Vilenkin groups, advancing the understanding of frame theory in this context.
Findings
Characterization of frame sequences via translates on Vilenkin groups
Necessary and sufficient conditions established for frame properties
Enhanced understanding of function space structure on Vilenkin groups
Abstract
We study the properties based on the space generated by the translates of square integrable function using C-bracket on Vilenkin group. We give the necessary and sufficient condition for frame sequences by the family of translates of the function.
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Taxonomy
TopicsMedical and Biological Sciences