We introduce new frames, called metaplectic Gabor frames, as natural generalizations of
Gabor frames in the framework of metaplectic Wigner distributions, cf.[7],[8],[5],[17],[27],[28] …

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

We present a different symplectic point of view in the definition of weighted modulation
spaces M mp, q (R d) and weighted Wiener amalgam spaces W (FL m 1 p, L m 2 q)(R d). All …

We extend the notions of quantum harmonic analysis, as introduced in R. Werner's paper
from 1984 (J Math Phys 25 (5): 1404–1411), to abelian phase spaces, by which we mean a …

We prove variants of Wiener's Tauberian theorem in the framework of quantum harmonic
analysis, ie for convolutions between an absolutely integrable function and a trace class …

We develop a quantum harmonic analysis framework for the affine group. This encapsulates
several examples in the literature such as affine localization operators, covariant integral …

We prove several results concerning the theory of Toeplitz algebras over p-Fock spaces
using a correspondence theory of translation invariant symbol and operator spaces. The …

We use results and techniques from Werner's``quantum harmonic analysis''to show that $ G
$-invariant Toeplitz operators are norm dense in $ G $-invariant Toeplitz algebras for all …

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 …

Using tools from quantum harmonic analysis, we show that the domain of the Laplacian of
an operator is dense in the Toeplitz algebra over the Fock space F 2 (C n). As an …