Equations for frame wavelets in L2(R2)

Xingde Dai

doi:10.1215/17358787-3639712

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Home > Journals > Banach J. Math. Anal. > Volume 10 > Issue 3 > Article

July 2016 Equations for frame wavelets in

L^{2}(\mathbb{R}^{2})

Xingde Dai

Banach J. Math. Anal. 10(3): 638-670 (July 2016). DOI: 10.1215/17358787-3639712

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Abstract

A finite solution to a system of equations will generate a single function normalized tight frame wavelet (Parseval’s frame wavelet) with compact support associated with a $2\times2$ expansive integral matrix whose determinant is either $2$ or $-2$ in $L^{2}(\mathbb{R}^{2})$ .

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Xingde Dai. "Equations for frame wavelets in $L^{2}(\mathbb{R}^{2})$ ." Banach J. Math. Anal. 10 (3) 638 - 670, July 2016. https://doi.org/10.1215/17358787-3639712