Luigi Rodino

activity

20122024

collaborators

7 papers

math.AP2024

Wigner kernel and Gabor matrix of operators

Elena Cordero, Gianluca Giacchi, Luigi Rodino

We exhibit the connection between the Wigner kernel and the Gabor matrix of a linear bounded operator T : $S (R^{d}) \to S^{'} (R^{d})$ . The smoothing…

math.FA2024

Wigner Analysis of Fourier Integral Operators with symbols in the Shubin classes

Elena Cordero, Gianluca Giacchi, Luigi Rodino +1

We study the decay properties of Wigner kernels for Fourier integral operators of types I and II. The symbol spaces that allow a nice decay of these kernels are the Shubin classes…

math.AP2022

Anisotropic global microlocal analysis for tempered distributions

Luigi Rodino, Patrik Wahlberg

We study an anisotropic version of the Shubin calculus of pseudodifferential operators on $R^{d}$ . Anisotropic symbols and Gabor wave front sets are defined in terms of decay…

math.FA2016

Anisotropic Shubin operators and eigenfunctions expansions in Gelfand-Shilov spaces

Marco Cappiello, Todor Gramchev, Stevan Pilipovic +1

We derive new results on the characterization of Gelfand--Shilov spaces $S_{ν}^{μ} (R^{n})$ , $μ, ν > 0$ , $μ + ν \geq 1$ by Gevrey estimates of the $L^{2}$ norms of iterates of $(m, k)$ …

math.FA2014

Gabor wave packets and evolution operators

Elena Cordero, Fabio Nicola, Luigi Rodino

We perform a Gabor analysis for a large class of evolution equations with constant coefficients. We show that the corresponding propagators have a very sparse Gabor matrix, display…

math.FA2014

Radial symmetric elements and the Bargmann transform

Marco Cappiello, Luigi Rodino, Joachim Toft

We prove that a function or distribution on $\rr d$ is radial symmetric, if and only if its Bargmann transform is a composition by an entire function on $C$ and the canonic…