4 papers
Inverse problems for the zeros of the Wigner function
Luís Daniel Abreu, Ulysse Chabaud, Nuno Costa Dias +1
In this work we consider the inverse problem of determining the properties of a Wigner function from the set of its zeros (the nodal set). The previous state of the art of the prob…
Analytic continuation of time in Brownian motion. Stochastic distributions approach
Luis Daniel Abreu, Daniel Alpay, Tryphon Georgiou +1
With the use of Hida's white noise space theory space theory and spaces of stochastic distributions, we present a detailed analytic continuation theory for classes of Gaussian proc…
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…
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…