Some equations relating multiwavelets and multiscaling functions
نویسندگان
چکیده
منابع مشابه
Some Equations Relating Multiwavelets and Multiscaling Functions
The local trace function introduced in [Dut] is used to derive equations that relate multiwavelets and multiscaling functions in the context of a generalized multiresolution analysis, without appealing to filters. A construction of normalized tight frame wavelets is given. Particular instances of the construction include normalized tight frame and orthonormal wavelet sets.
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agency of the United States Government. Neither the United States Gover-nmentnor any agency thereof, nor any of their employees, nor any of their contractors, subcontractors, or their employees, makes any warranty, express or implied, or assumes any legal liability or responsibility for the accuracy, completeness, or usefulness of any information, apparatus, product , or process disclosed, or r...
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Multiwavelets for Second-kind Integral Equations
Abstract. We consider a Galerkin method for an elliptic pseudodifferential operator of order zero on a two-dimensional manifold. We use piecewise linear discontinuous trial functions on a triangular mesh and describe an orthonormal wavelet basis. Using this basis we can compress the stiffness matrix from N to O(N logN) nonzero entries and still obtain (up to logN terms) the same convergence rat...
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ژورنال
عنوان ژورنال: Journal of Functional Analysis
سال: 2005
ISSN: 0022-1236
DOI: 10.1016/j.jfa.2005.01.015