Discrete Calderon condition for the twisted wavelet system
Radha Ramakrishnan, Rabeetha Velsamy
TL;DR
This paper establishes a discrete Calderon condition analogue that guarantees the completeness of orthonormal twisted wavelet systems in L^{2}(R^{2}), advancing the theoretical understanding of wavelet systems.
Contribution
It introduces a novel discrete Calderon condition specific to twisted wavelet systems and proves its sufficiency for completeness.
Findings
Discrete Calderon condition analogue derived
Condition ensures orthonormal twisted wavelet system completeness
Advances theoretical framework for wavelet analysis
Abstract
In this paper, we obtain an analogue of the discrete Calderon condition and prove that this condition is sufficient for an orthonormal twisted wavelet system to be complete in L^{2}(R^{2}).
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Taxonomy
TopicsImage and Signal Denoising Methods · Mathematical Analysis and Transform Methods · Advanced Mathematical Modeling in Engineering