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20082024
most citedTrace Ideals for Fourier Integral Operators with Non-Smooth Symbols III

1 citations · 1 across the 7 of their papers we have counts for

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7 papers

math.FA2024

Pseudodifferential operators on time-frequency invariant Banach spaces and applications to Gabor Frames

Gianluca Garello, Alessandro Morando

Starting from the study of pseudodifferential operators with completely periodic symbols, we obtain results of continuity and invertibility of a class of Gabor operators on time-fr…

math.AP2023

Pseudodifferential operators with completely periodic symbols

Gianluca Garello, Alessandro Morando

Motivated by the recent paper of Boggiatto-Garello in J. Pseudo-Differ. Oper. Appl. \textbf{11} (2020), 93-117, where a Gabor operator is regarded as pseudodifferential operator wi…

math.AP2020

Microlocal regularity of nonlinear PDE in quasi-homogeneous Fourier Lebesgue spaces

G. Garello, A. Morando

We study the continuity in weighted Fourier Lebesgue spaces for a class of pseudodifferential operators, whose symbol has finite Fourier Lebesgue regularity with respect to and…

math.AP2016

Inhomogeneous microlocal propagation of singularities in Fourier Lebesgue spaces

Gianluca Garello, Alessandro Morando

Some results of microlocal continuity for pseudodifferential operators whose non regular symbols belong to weighted Fourier Lebesgue spaces are given. Inhomogeneous local and micro…

math.AP2014

m-Microlocal elliptic pseudodifferential operators acting on

Gianluca Garello, Alessandro Morando

In the first part of the paper the authors study the minimal and maximal extension of a class of weighted pseudodifferential operators in the Fréchet space . In t…

math.AP2014

Microloal Regularity of Besov type for solutions to quasi elliptic non linear partial differential equations

Gianluca Garello, Alessandro Morando

Using a standard linearization technique and previously obtained microlocal properties for pseudodifferential operators with smooth coefficients, the authors state results of micro…

math.AP2008★ 1 cited

Trace Ideals for Fourier Integral Operators with Non-Smooth Symbols III

Joachim Toft, Francesco Concetti, Gianluca Garello

We consider Fourier integral operators with symbols in modulation spaces and non-smooth phase functions whose second orders of derivatives belong to certain types of modulation spa…