In this paper we solve an open problem concerning the characterization of those
measurable sets Ω⊂ R 2 d that, among all sets having a prescribed Lebesgue measure, can …

For some special window functions ψ α∈ H 2 (C+) ψ_α∈H^2(C^+), we prove that, over all
sets Δ⊂ C+ Δ⊂C^+ of fixed hyperbolic measure ν (Δ) ν(Δ), those for which the Wavelet …

Recently we introduced mixed-state localization operators associated with a density
operator and a (compact) domain in phase space. We continue the investigations of their …

Weyl–Heisenberg ensembles are translation-invariant determinantal point processes on R^
2d R 2 d associated with the Schrödinger representation of the Heisenberg group, and …

We study concentration operators associated with either the discrete or the continuous
Fourier transform, that is, operators that incorporate a spatial cut-off and a subsequent …

Time-frequency localization operators (with Gaussian window) $ L_F: L^ 2 (\mathbb {R}^
d)\to L^ 2 (\mathbb {R}^ d) $, where $ F $ is a weight in $\mathbb {R}^{2d} $, were …

Time-frequency concentration operators restrict the integral analysis-synthesis formula for
the short-time Fourier transform to a given compact domain. We estimate how much the …

We prove a sharp quantitative version of recent Faber-Krahn inequalities for the continuous
Wavelet transforms associated to a certain family of Cauchy wavelet windows. Our results …

We show that, for a class of planar determinantal point processes (DPP) X, the growth of the
entanglement entropy S (X (Ω)) of X on a compact region Ω⊂ R 2 d, is related to the …

We study decay and smoothness properties for eigenfunctions of compact localization
operators A a φ 1, φ 2. Operators A a φ 1, φ 2 with symbols a in the wide modulation space …