Compactly Supported Wavelets and Boundary Conditions

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Abstract

Wavelet bases subject to various homogeneous boundary conditions on an interval are constructed. They are obtained from Daubechies′ compactly supported wavelets which are restricted to the interval following an idea by Y. Meyer and then, suitably modified. The Sobolev spaces arising from homogeneous boundary problems are characterized in terms of wavelet coefficients in these bases. © 1993 by Academic Press. Inc.

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Auscher, P. (1993). Compactly Supported Wavelets and Boundary Conditions. Journal of Functional Analysis, 111(1), 29–43. https://doi.org/10.1006/jfan.1993.1002

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