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 …

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 …

On a locally compact group we introduce covariant quantization schemes and analogs of
phase space representations as well as mixed-state localization operators. These …

Weyl–Heisenberg ensembles are a class of determinantal point processes associated with
the Schrödinger representation of the Heisenberg group. Hyperuniformity characterizes a …

To overcome the impossibility of representing the energy of a signal simultaneously in time
and frequency, many time–frequency representations have been introduced in the literature …

The deformed Hankel wavelet transform ((k, n)-HWT) is a novel addition to the class of
wavelet transforms, which has gained a respectable status in the realm of time-frequency …

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 …

We study mixed-state localization operators from the perspective of Werner's operator
convolutions which allows us to extend known results from the rank-one case to trace class …

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 …

We consider planar Coulomb systems consisting of a large number n of repelling point
charges in the low temperature regime, where the inverse temperature ˇ grows at least …