74 citations · 275 across the 23 of their papers we have counts for
26 papers
Schwartz-Class Gabor Windows and the Balian-Low Classification
Andrei Caragea, Götz Pfander
A lattice Gabor frame consists of a window function and its time-frequency shifts along a lattice. We classify the lattices that admit Schwartz-class and, equivalently, Feichtinger…
Functions with comparable integrals on all k-planes
Mihail N. Kolountzakis, Götz E. Pfander
Let and . We show that if is nonnegative and measurable and then it is impossible that on almost all aff…
Tilings, packings, and the existence of Schwartz-class Gabor windows
Andrei Caragea, Mihail N. Kolountzakis, Götz Pfander
The existence and construction of Schwartz-class windows for lattice Gabor frames is a central problem in time--frequency analysis. For general time--frequency lattices, we charact…
The normalized orbit of a bounded normal operator can be a frame
Ilya A. Krishtal, Götz E. Pfander
Conjecture 3 in [A. Aldroubi, C. Cabrelli, I. Krishtal, and U. Molter, Dynamical Sampling: A Survey, La Matematica 5 (2026), Article 37] postulates that for any bounded normal oper…
Prony's Method in Banach Modules
Ilya A. Krishtal, Götz E. Pfander
We show that the classical Prony's method for recovery of a sparse signal from its consecutive Fourier coefficients can be viewed as a spectral identification problem for an unknow…
Quantitative approximation results for complex-valued neural networks
A. Caragea, D. G. Lee, J. Maly +2
Until recently, applications of neural networks in machine learning have almost exclusively relied on real-valued networks. It was recently observed, however, that complex-valued n…