40 citations · 207 across the 29 of their papers we have counts for
6 papers · 1 filter
Comment on 'Comment on 'Affine density, von Neumann dimension and a problem of Perelomov"
Luís Daniel Abreu
In the Letter 'Comment on 'Affine density, von Neumann dimension and a problem of Perelomov', arXiv.2211.04879, by Prof. J. L. Romero, it is claimed that the main theorem of Ref2 :…
The affine ensemble: determinantal point processes associated with the ax+b group
Luis Daniel Abreu, Peter Balazs, Smiljana Jakšić
We introduce the affine ensemble, a class of determinantal point processes (DPP) in the half-plane C^+ associated with the ax+b (affine) group, depending on an admissible Hardy fun…
Local maxima of white noise spectrograms and Gaussian Entire Functions
Luis Daniel Abreu
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, modu…
Donoho-Logan large sieve principles for the wavelet transform
Luís Daniel Abreu, Michael Speckbacher
In this paper we formulate Donoho and Logan's large sieve principle for the wavelet transform on the Hardy space, adapting the concept of maximum Nyquist density to the hyperbolic…
Time-frequency analysis on flat tori and Gabor frames in finite dimensions
Luis Daniel Abreu, Peter Balazs, Nicki Holighaus +2
We provide the foundations of a Hilbert space theory for the short-time Fourier transform (STFT) where the flat tori \begin{equation*} \mathbb{T}_{N}^2=\mathbb{R}^2/(\mathbb{Z}\tim…
A fractal uncertainty principle for Bergman spaces and analytic wavelets
Luis Daniel Abreu, Zouhair Mouayn, Felix Voigtlaender
Motivated by results of Dyatlov on Fourier uncertainty principles for Cantor sets and by similar results of Knutsen for joint time-frequency representations (i.e., the short-time F…