76 citations · 343 across the 42 of their papers we have counts for
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Efficient recovery of non-periodic multivariate functions from few scattered samples
Felix Bartel, Kai Lüttgen, Nicolas Nagel +1
It has been observed by several authors that well-known periodization strategies like tent or Chebychev transforms lead to remarkable results for the recovery of multivariate funct…
Sampling recovery in and other norms
David Krieg, Kateryna Pozharska, Mario Ullrich +1
We study the recovery of functions in various norms, including with , based on function evaluations. We obtain worst case error bounds for general classes of…
Marcinkiewicz--Zygmund inequalities for scattered and random data on the -sphere
Frank Filbir, Ralf Hielscher, Thomas Jahn +1
The recovery of multivariate functions and estimating their integrals from finitely many samples is one of the central tasks in modern approximation theory. Marcinkiewicz--Zygmund…
A sufficient condition for Haar multipliers in Triebel-Lizorkin spaces
Gustavo Garrigós, Andreas Seeger, Tino Ullrich
We consider Haar multiplier operators acting on Sobolev spaces, and more generally Triebel-Lizorkin spaces , for indices in which the Haar system is no…