83 citations · 515 across the 58 of their papers we have counts for
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Banach algebras of pseudodifferential operators and their almost diagonalization
Karlheinz Gröchenig, Ziemowit Rzeszotnik
We define new symbol classes for pseudodifferntial operators and investigate their pseudodifferential calculus. The symbol classes are parametrized by commutative convolution algeb…
The Homogeneous Approximation Property and the Comparison Theorem for Coherent Frames
Karlheinz Gröchenig
We show that the homogeneous approximation property and the comparison theorem hold for arbitrary coherent frames. This observation answers some questions about the density of fram…
Random Sampling of Entire Functions of Exponential Type in Several Variables
Karlheinz Gröchenig, Richard F. Bass
We consider the problem of random sampling for band-limited functions. When can a band-limited function be recovered from randomly chosen samples ? We…
Gabor frames without inequalities
Karlheinz Gröchenig
We prove fourteen equivalent conditions for a set of timefrequency shifts on a lattice to be a frame for L^2. Remarkably, several of these conditions can be formulated without an i…
Learning Trigonometric Polynomials from Random Samples and Exponential Inequalities for Eigenvalues of Random Matrices
Karlheinz Groechenig, Benedikt M. Poetscher, Holger Rauhut
Motivated by problems arising in random sampling of trigonometric polynomials, we derive exponential inequalities for the operator norm of the difference between the sample second…