Federico Bastianoni

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20192023

most citedComparisons between Fourier and STFT multipliers: the smoothing effect of the Short-time Fourier Transform

5 citations · 6 across the 3 of their papers we have counts for

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math.FA2023★ 1 cited

$τ$ -quantization and $τ$ -Cohen classes distributions of Feichtinger operators

Federico Bastianoni, Franz Luef

We investigate the $τ$ -quantizations and Cohen's class distributions of a suitable class of trace-class operators, called Feichtinger's operators, and show that it is a convenient…

math.FA2022★ 5 cited

Comparisons between Fourier and STFT multipliers: the smoothing effect of the Short-time Fourier Transform

Peter Balazs, Federico Bastianoni, Elena Cordero +2

We study the connection between STFT multipliers $A_{1 \otimes m}^{g_{1}, g_{2}}$ having windows $g_{1}, g_{2}$ , symbols $a (x, ω) = (1 \otimes m) (x, ω) = m (ω)$ , $(x, ω) \in R^{2 d}$ , and the Fo…

math.FA2021

Quasi-Banach modulation spaces and localization operators on locally compact abelian groups

Federico Bastianoni, Elena Cordero

We introduce new quasi-Banach modulation spaces on locally compact abelian (LCA) groups which coincide with the classical ones in the Banach setting and prove their main properties…

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…