81 citations · 81 across the 2 of their papers we have counts for
4 papers
Approximate Duals of B-splines for the Exact Representation of Splines on Coarse Knot Vectors
Joachim Stöckler
Approximate duals of B-splines were first used by Chui et al. (2004) for the purpose of constructing tight wavelet frames on bounded intervals. They are splines with local support,…
Optimal Hölder-Zygmund exponent of semi-regular refinable functions
Maria Charina, Costanza Conti, Lucia Romani +2
The regularity of refinable functions has been investigated deeply in the past 25 years using Fourier analysis, wavelet analysis, restricted and joint spectral radii techniques. Ho…
Sharp results on sampling with derivatives in shift-invariant spaces and multi-window Gabor frames
Karlheinz Gröchenig, José Luis Romero, Joachim Stöckler
We study the problem of sampling with derivatives in shift-invariant spaces generated by totally-positive functions of Gaussian type or by the hyperbolic secant. We provide sharp c…
Sampling Theorems for Shift-invariant Spaces, Gabor Frames, and Totally Positive Functions
Karlheinz Gröchenig, José Luis Romero, Joachim Stöckler
We study nonuniform sampling in shift-invariant spaces and the construction of Gabor frames with respect to the class of totally positive functions whose Fourier transform factors…