2 papers
math.FA2026
Chirp-Induced Non-Separable Gabor Windows on
Lorenzo De Leonardis, Alessandro Mazzoccoli, Pierluigi Vellucci
We construct an explicit class of non-separable Gabor windows on by applying chirp deformations to tensor-product dual pairs on separable lattices. Starting from one-di…
math.FA2025
Symmetry, Scaling, and Optimal Time-Frequency Concentration: Minimising the Heisenberg Uncertainty in Piecewise-Polynomial and Wavelet Dictionaries
Lorenzo de Leonardis, Alessandro Mazzoccoli, Pierluigi Vellucci
In this work, we introduce a hierarchy of function classes defined on a fixed compact interval, along with tailored uncertainty operators. We establish key properties of the associ…