83 citations · 515 across the 58 of their papers we have counts for
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Sampling theorems with derivatives in shift-invariant spaces generated by periodic exponential B-splines
Karlheinz Gröchenig, Irina Shafkulovska
We derive sufficient conditions for sampling with derivatives in shift-invariant spaces generated by a periodic exponential B-spline. The sufficient conditions are expressed with a…
t-design curves and mobile sampling on the sphere
Martin Ehler, Karlheinz Gröchenig
In analogy to classical spherical t-design points, we introduce the concept of t-design curves on the sphere. This means that the line integral along a t-design curve integrates po…
Variable Bandwidth via Wilson bases
Beatrice Andreolli, Karlheinz Gröchenig
We introduce a new concept of variable bandwidth that is based on the truncation of Wilson expansions. For this model we derive both (nonuniform) sampling theorems, the complete re…
Spectral Subspaces of Sturm-Liouville Operators and Variable Bandwidth
Mark Jason Celiz, Karlheinz Gröchenig, Andreas Klotz
We study spectral subspaces of the Sturm-Liouville operator on , where is a positive, piecewise constant function. Functions in these subspaces…
Totally Positive Functions and Gabor Frames over Rational Lattices
Karlheinz Gröchenig
We show that for an arbitrary totally positive function and rational, the Gabor family is a frame for $…