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math.NA2024
Optimal Compactly Supported Functions in Sobolev Spaces
Robert Schaback
This paper constructs unique compactly supported functions in Sobolev spaces that have minimal norm, maximal support, and maximal central value, under certain renormalizations. The…
math.NA2024
Greedy Adaptive Local Recovery of Functions in Sobolev Spaces
Robert Schaback
There are many ways to upsample functions from multivariate scattered data locally, using only a few neighbouring data points of the evaluation point. The position and number of th…