F. Luef

collaborators

2 papers

math.FA2025

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 $e^{- I^\pm ∣ z ∣^{2}}$ , of entire and quasi-periodic (modulo a weight dependent on $I^½$ ) functions on $C$ . The quotient space $\mathbb{C}/\mathbb…

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 $L_{I^½}^{2} (0, 1)$ , the space of measurable functions $…