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.FA2024
Detecting quasicrystals with quadratic time-frequency distributions
Paolo Boggiatto, Carmen Fernández, Antonio Galbis +1
The usefulness of time-frequency analysis methods in the study of quasicrystals was pointed out in a previous paper, where we proved that a tempered distribution on ${\mathbb…