Wigner analysis of Fourier integral operators with symbols in the Shubin classes

DOI10.1007/s00030-024-00961-4zbMATH Open1541.3558MaRDI QIDQ6552623

Elena Cordero, Gianluca Giacchi, Mario Valenzano, Luigi Rodino

Publication date: 10 June 2024

Published in: NoDEA. Nonlinear Differential Equations and Applications (Search for Journal in Brave)

zbMATH Keywords

decay of Wigner kernels

Mathematics Subject Classification ID

General harmonic expansions, frames (42C15) Fourier integral operators applied to PDEs (35S30) Pseudodifferential operators (47G30)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Schatten-von Neumann properties for Fourier integral operators with non-smooth symbols. II
• Time-frequency analysis of Sjöstrand's class
• Time-frequency analysis of Fourier integral operators
• Banach algebras of pseudodifferential operators and their almost diagonalization
• Sparsity of Gabor representation of Schrödinger propagators
• Foundations of time-frequency analysis
• Wiener algebras of Fourier integral operators
• Characterization of smooth symbol classes by Gabor matrix decay
• Wigner analysis of operators. I: Pseudodifferential operators and wave fronts
• Time-frequency analysis of operators
• Wave packet analysis of Schrödinger equations in analytic function spaces
• Fourier integral operators. I
• Characterization of modulation spaces by symplectic representations and applications to Schrödinger equations
• Notes on Hardy's uncertainty principle for the Wigner distribution and Schrödinger evolutions
• The Wigner Transform
• Generalized metaplectic operators and the Schrödinger equation with a potential in the Sjöstrand class
• Fast Computation of Fourier Integral Operators
• Symplectic Methods in Harmonic Analysis and in Mathematical Physics
• Harmonic Analysis in Phase Space. (AM-122)
• Wave packets and fourier integral operators
• On the Quantum Correction For Thermodynamic Equilibrium
• Dynamical versions of Hardy’s uncertainty principle: A survey
• Linear Canonical Wigner Distribution Based Noisy LFM Signals Detection Through the Output SNR Improvement Analysis
• A metaplectic perspective of uncertainty principles in the linear canonical transform domain

This page was built for publication: Wigner analysis of Fourier integral operators with symbols in the Shubin classes