most citedMulti- and Infinite-variate Integration and -Approximation on Hilbert Spaces with Gaussian Kernels

1 citations · 1 across the 4 of their papers we have counts for

collaborators

4 papers

math.NA2026

Embeddings of Reproducing Kernel Hilbert Spaces with General Weights

Michael Gnewuch, Peter Kritzer, Klaus Ritter

We study embeddings between reproducing kernel Hilbert spaces of functions of variables. The kernels are superpositions of weighted fi…

math.NA2024★ 1 cited

Multi- and Infinite-variate Integration and -Approximation on Hilbert Spaces with Gaussian Kernels

Michael Gnewuch, Klaus Ritter, Robin Rüßmann

We study integration and -approximation in the worst-case setting for deterministic linear algorithms based on function evaluations. The underlying function space is a reprodu…

math.NT2024

Poissonian pair correlations for dependent random variables

Jasmin Fielder, Michael Gnewuch, Christian Weiß

We consider Poissonian pair correlations (PPC) for uniformly distributed sequences of random numbers with a dependency structure. More specifically, we treat two classes of depende…

math.NA2024

QMC integration based on arbitrary (t,m,s)-nets yields optimal convergence rates on several scales of function spaces

Michael Gnewuch, Josef Dick, Lev Markhasin +1

We study the integration problem over the -dimensional unit cube on four types of Banach spaces of integrands. First we consider Haar wavelet spaces, consisting of functions who…