fourier transform 1harmonic analysis 1mellin transform 1orthonormal families 1time-frequency analysis 1uncertainty principle 1
From the 1 of 2 linked papers with an AI index.
2 papers
math.FA2026
Umbrella theorems for time-frequency representations
Paolo Boggiatto, Chiara Boiti, Alessandro Oliaro
The paper studies Umbrella Theorems—uncertainty principles that forbid a single square‑integrable function from dominating an infinite orthonormal family and its Fourier transforms…
math.FA2026
Stability of global wave front sets by perturbations of frames
Chiara Boiti, David Jornet, Alessandro Oliaro
In this paper we consider the Gabor wave front set of ultradistributions in the frame of ultradifferentiable functions. We prove that such a wave front set, defined through a Gabor…