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The Continuous Shearlet Transform in Arbitrary Space Dimensions
TLDR
A generalization of the continuous shearlet transform to higher dimensions using translations, anisotropic dilations and specific shear matrices. Expand
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Shearlet coorbit spaces and associated Banach frames
Abstract In this paper, we study the relationships of the newly developed continuous shearlet transform with the coorbit space theory. It turns out that all the conditions that are needed to applyExpand
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Adaptive frame methods for elliptic operator equations
TLDR
We use the concept of Gelfand frames which induces equivalences between smoothness norms and weighted sequence norms of frame coefficients. Expand
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The Affine uncertainty principle in one and two dimensions
Abstract In this paper, we construct families of wavelets that minimize an uncertainty relation associated with square integrable representations of some canonical groups. Especially, we obtain a newExpand
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Stable multiscale bases and local error estimation for elliptic problems
Abstract This paper is concerned with the analysis of adaptive multiscale techniques for the solution of a wide class of elliptic operator equations covering, in principle, singular integral as wellExpand
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Besov regularity for elliptic boundary value problems
This paper studies the regularity of solutions to boundary value problems for the Laplace operator on Lipschitz domains {Omega} in R{sup d} and its relationship with adaptive and other nonlinearExpand
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Adaptive wavelet methods and sparsity reconstruction for inverse heat conduction problems
TLDR
This paper is concerned with the numerical treatment of inverse heat conduction problems. Expand
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Nonlinear Approximation and Adaptive Techniques for Solving Elliptic Operator Equations
Abstract This survey article is concerned with two basic approximation concepts and their interrelation with the numerical solution of elliptic operator equations, namely nonlinear and adaptiveExpand
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Some Remarks on Quadrature Formulas for Refinable Functions and Wavelets
This paper is concerned with the efficient computation of integrals of (smooth) functions against refinable functions and wavelets, respectively. We derive quadrature formulas of Gauss-type usingExpand
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