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 …

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

A determinantal point process (DPP) is an ensemble of random nonnegative-integer-valued
Radon measures Ξ on a space S with measure λ, whose correlation functions are all given …

We develop an alternative approach to the study of Fourier series, based on the Short-Time-
Fourier Transform (STFT) acting on $ L_ {\nu}^{2}(0, 1) $, the space of measurable functions …

The bulk scaling limit of eigenvalue distribution on the complex plane ${\mathbb {C}} $ of the
complex Ginibre random matrices provides a determinantal point process (DPP). This point …

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 confirm Flandrin's prediction for the expected average of local maxima of spectrograms
of complex white noise with Gaussian windows (Gaussian spectrograms or, equivalently …

We introduce new families of determinantal point processes (DPPs) on a complex plane CC,
which are classified into seven types following the irreducible reduced affine root systems …