Federico Bastianoni

activity

20192021

collaborators

3 papers

math.FA2021

Characterization of smooth symbol classes by Gabor matrix decay

Federico Bastianoni, Elena Cordero

For $m \in R$ we introduce the symbol classes $S^{m}$ , $m \in R$ , consisting of smooth functions $σ$ on $R^{2 d}$ such that $|\partial^ασ(z)|\leq C_α(1+|z|^2)^{…

math.FA2020

Subexponential decay and regularity estimates for eigenfunctions of localization operators

Federico Bastianoni, Nenad Teofanov

We consider time-frequency localization operators $A_{a}^{φ_{1}, φ_{2}}$ with symbols $a$ in the wide weighted modulation space $M_{w}^{\infty} (R^{2 d})$ , and windows $φ_{1}, φ_{2}$ …

math.FA2019

Decay and Smoothness for Eigenfunctions of Localization Operators

Federico Bastianoni, Elena Cordero, Fabio Nicola

We study decay and smoothness properties for eigenfunctions of compact localization operators. Operators with symbols a in the wide modulation space M^{p,\infty} (containing the Le…