Sufficient Conditions for Composite Wavelet Frames in L^2(R^n)
M. Younus Bhat
TL;DR
This paper establishes sufficient conditions under which composite wavelet systems form frames in the Hilbert space of square-integrable functions over R^n, aiding in the understanding and construction of wavelet frames.
Contribution
It introduces new sufficient conditions for the formation of composite wavelet frames in L^2(R^n), expanding theoretical understanding.
Findings
Derived explicit conditions for wavelet frame formation.
Extended wavelet frame theory to higher-dimensional Euclidean spaces.
Provided mathematical proofs for the sufficiency of these conditions.
Abstract
In this paper, we provide conditions which are sufficient to form composite wavelet frames on the Hilbert space of Euclidean space over R^n
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Taxonomy
TopicsMathematical Analysis and Transform Methods · Image and Signal Denoising Methods · Advanced Harmonic Analysis Research