Displaying similar documents to “A gradient-projective basis of compactly supported wavelets in dimension n > 1”

A general construction of nonseparable multivariate orthonormal wavelet bases

Abderrazek Karoui (2008)

Open Mathematics

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The construction of nonseparable and compactly supported orthonormal wavelet bases of L 2(R n); n ≥ 2, is still a challenging and an open research problem. In this paper, we provide a special method for the construction of such wavelet bases. The wavelets constructed by this method are dyadic wavelets. Also, we show that our proposed method can be adapted for an eventual construction of multidimensional orthogonal multiwavelet matrix masks, candidates for generating multidimensional...

A class of tight framelet packets

Da-Yong Lu, Qi-Bin Fan (2011)

Czechoslovak Mathematical Journal

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This paper obtains a class of tight framelet packets on L 2 ( ℝ d ) from the extension principles and constructs the relationships between the basic framelet packets and the associated filters.

Theoretical analysis of discrete contact problems with Coulomb friction

Tomáš Ligurský (2012)

Applications of Mathematics

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A discrete model of the two-dimensional Signorini problem with Coulomb friction and a coefficient of friction ℱ depending on the spatial variable is analysed. It is shown that a solution exists for any ℱ and is globally unique if ℱ is sufficiently small. The Lipschitz continuity of this unique solution as a function of ℱ as well as a function of the load vector f is obtained. Furthermore, local uniqueness of solutions for arbitrary ℱ > 0 is studied. The question of existence of locally Lipschitz-continuous...