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arXiv · 1806.00623

Unitary Extension Principle for Nonuniform Wavelet Frames in $L^2(\mathbb{R})$

Hari Krishan Malhotra·Lalit Kumar Vashisht
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Abstract

We study the construction of nonuniform tight wavelet frames for the Lebesgue space $L^2(\mathbb{R})$, where the related translation set is not necessary a group. The main purpose of this paper is to prove the unitary extension principle (UEP) and the oblique extension principle (OEP) for construction of multi-generated nonuniform tight wavelet frames for $L^2(\mathbb{R})$. Some examples are also given to illustrate the results.

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Hari Krishan Malhotra, Lalit Kumar Vashisht. 2018-06-02. Unitary Extension Principle for Nonuniform Wavelet Frames in $L^2(\mathbb{R})$. https://doi.org/10.15407/mag17.01.079

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