49 citations · 49 across the 5 of their papers we have counts for
6 papers
Zero correlations and averaged fields of orthonormal Gaussian functions
Luís Daniel Abreu, Tomoyuki Shirai
We consider the family of point processes of zeros of Gaussian random functions , arising from t…
Inverse problems for the zeros of the Wigner function
Luís Daniel Abreu, Ulysse Chabaud, Nuno Costa Dias +1
We study the nodal (zero) set of the Wigner transform, obtaining a rigidity theorem for the eigenstates of one-dimensional harmonic oscillator. For every , and…
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…
Discrete coherent states for higher Landau levels
L. D. Abreu, P. Balazs, M. de Gosson +1
We consider the quantum dynamics of a charged particle evolving under the action of a constant homogeneous magnetic field, with emphasis on the discrete subgroups of the Heisenberg…