A noniterative method for the reconstruction of the short-time fourier transform (STFT) phase
from the magnitude is presented. The method is based on the direct relationship between …

This article is meant as both an introduction and a review of some of the recent
developments on Fock and Bergman spaces of polyanalytic functions. The study of …

In this paper, we study the Cauchy problem for the Landau Hamiltonian wave equation, with
time-dependent irregular (distributional) electromagnetic field and similarly irregular velocity …

Given a Hilbert space HH, we investigate the well-posedness of the Cauchy problem for the
wave equation for operators with a discrete non-negative spectrum acting on H H. We …

Abstract For integers n, q= 1, 2, 3,…, let Pol n, q denote the C-linear space of polynomials in
z and ̄z, of degree≤ n− 1 in z and of degree≤ q− 1 in ̄z. We supply Pol n, q with the inner …

We derive necessary density conditions for sampling and for interpolation in general
reproducing kernel Hilbert spaces satisfying some natural conditions on the geometry of the …

In a recent paper, Flandrin [16] proposed filtering based on the zeros of a spectrogram with
Gaussian window. His results are based on empirical observations on the distribution of the …

The Fueter theorem provides a two step procedure to build an axially monogenic function, ie
a null-solution of the Cauchy-Riemann operator in $\mathbb {R}^ 4$, denoted by $\mathcal …

We develop the quantum harmonic analysis framework in the reducible setting and apply
our findings to polyanalytic Fock spaces. In particular, we explain some phenomena …

We obtain estimates for the L p-norm of the short-time Fourier transform (STFT) for functions
in modulation spaces, providing information about the concentration on a given subset of R …