Shift invariant space and FMRA on Vilenkin group
Prasadini Mahapatra, Divya Singh
TL;DR
This paper develops the spectral theory for shift invariant spaces on Vilenkin groups and explores frame multiresolution analysis within this context, extending classical wavelet concepts to these groups.
Contribution
It introduces the spectrum for shift invariant spaces on Vilenkin groups and establishes results on spectrum and frame multiresolution analysis for these groups.
Findings
Spectrum constructed for shift invariant spaces on Vilenkin groups
Results established for spectrum and frame MRA on Cantor dyadic and Vilenkin groups
Extension of wavelet analysis concepts to Vilenkin groups
Abstract
We construct the spectrum for a shift invariant space on Vilenkin group. We prove the results related to spectrum and Frame multiresolution analysis for Cantor dyadic group and Vilenkin group.
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Taxonomy
TopicsMathematical Analysis and Transform Methods · Mathematical Dynamics and Fractals