3 papers
math.FA2024
Gabor frames for quasi-periodic functions and polyanalytic spaces on the flat cylinder
L. D. Abreu, F. Luef, M. Ziyat
We develop an alternative approach to the study of Fourier series, based on the Short-Time-Fourier Transform (STFT) acting on , the space of measurable functions $f…
math.FA2024
Beurling density theorems for sampling and interpolation on the flat cylinder
Luis Daniel Abreu, Franz Luef, Mohammed Ziyat
We consider the Fock space weighted by , of entire and quasi-periodic (modulo a weight dependent on ) functions on . The quotient space $\mathbb{C}/\mathbb{Z…
math.FA2018
A duality principle for groups II: Multi-frames meet super-frames
Radu Balan, Dorin Ervin Dutkay, Deguang Han +2
The duality principle for group representations developed in \cite{DHL-JFA, HL_BLM} exhibits a fact that the well-known duality principle in Gabor analysis is not an isolated incid…