Jörg Schult

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The main purpose of the present paper is to prove approximation and com-mutator properties for projections mapping periodic Sobolev spaces onto shift-invariant spaces generated by a nite number of compactly supported functions. With these prerequisites at hand and using certain localization techniques, we then characterize the stability of generalized(More)
We develop a stability and convergence analysis of Galerkin–Petrov schemes based on a general setting of multiresolution generated by several refinable functions for the numerical solution of pseudodifferential equations on smooth closed curves. Particular realizations of such a multiresolution analysis are trial spaces generated by biorthogonal wavelets or(More)
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