70 citations · 247 across the 23 of their papers we have counts for
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math.FA2021★ 5 cited
Approximation order of Kolmogorov diameters via -spectra and applications to polyharmonic operators
Marc Kesseböhmer, Aljoscha Niemann
We establish a connection between the -spectrum of a Borel measure on the -dimensional unit cube and the approximation order of Kolmogorov diameters of the unit spher…
math.FA2014★ 19 cited
A note on measure-geometric Laplacians
Marc Kesseböhmer, Tony Samuel, Hendrik Weyer
We consider the measure-geometric Laplacians with respect to atomless compactly supported Borel probability measures as introduced by Freiberg and Zähle in 2002 and show…
math.FA2009★ 23 cited
Wavelets for iterated function systems
Jana Bohnstengel, Marc Kesseböhmer
We construct a wavelet and a generalised Fourier basis with respect to some fractal measures given by one-dimensional iterated function systems. In this paper we will not assume th…