118 citations · 790 across the 44 of their papers we have counts for
6 papers · 1 filter
Quantitative bounds for unconditional pairs of frames
Peter Balazs, Daniel Freeman, Roxana Popescu +1
We formulate a quantitative finite-dimensional conjecture about frame multipliers and prove that it is equivalent to Conjecture 1 in [SB2]. We then present solutions to the conject…
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…
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…
Comparisons between Fourier and STFT multipliers: the smoothing effect of the Short-time Fourier Transform
Peter Balazs, Federico Bastianoni, Elena Cordero +2
We study the connection between STFT multipliers having windows , symbols , , and the Fo…
Frame-related Sequences in Chains and Scales of Hilbert Spaces
Peter Balazs, Giorgia Bellomonte, Hessam Hosseinnezhad
Frames for Hilbert spaces are interesting for mathematicians but also important for applications e.g. in signal analysis and in physics. Both in mathematics and physics it is natur…
Phase-Based Signal Representations for Scattering
Daniel Haider, Peter Balazs, Nicki Holighaus
The scattering transform is a non-linear signal representation method based on cascaded wavelet transform magnitudes. In this paper we introduce phase scattering, a novel approach…