3 papers
math.FA2026
Block-equivalent finite Gabor frames
Oleg Asipchuk, Laura De Carli, Luis Rodriguez
We study finite systems of vectors whose frame operator matrices are unitarily equivalent, via explicit and computationally efficient unitary transformations, to block-diagonal mat…
math.FA2024
Frequency-dependent stability for Gabor frames
Laura De Carli, Luis Rodriguez, Pierluigi Vellucci
We prove new stability results for a class of regular Gabor frames subject to frequency-dependent timing jitter under various conditions on the window function .
math.FA2023
Additive Stability of Frames
Oleg Asipchuk, Jacob Glidewell, Luis Rodriguez
Given a frame in a finite dimensional Hilbert space we construct additive perturbations which decrease the condition number of the frame. By iterating this perturbation, we introdu…