Wigner analysis of operators. II: Schrödinger equations
DOI10.1007/s00220-024-04992-xzbMATH Open1542.35335MaRDI QIDQ6564156
Luigi Rodino, Gianluca Giacchi, Elena Cordero
Publication date: 28 June 2024
Published in: Communications in Mathematical Physics (Search for Journal in Brave)
Pseudodifferential operators as generalizations of partial differential operators (35S05) Singular and oscillatory integrals (Calderón-Zygmund, etc.) (42B20) Function spaces arising in harmonic analysis (42B35) Signal theory (characterization, reconstruction, filtering, etc.) (94A12) Phase-space methods including Wigner distributions, etc. applied to problems in quantum mechanics (81S30) Time-dependent Schrödinger equations and Dirac equations (35Q41) Harmonic analysis and PDEs (42B37)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Representation of Schrödinger operator of a free particle via short-time Fourier transform and its applications
- On the quantum correction for thermodynamic equilibrium.
- Analytic wave front set for solutions to Schrödinger equations
- The Schrödinger propagator for scattering metrics
- Time-frequency analysis of Sjöstrand's class
- Propagation of Gabor singularities for semilinear Schrödinger equations
- Banach algebras of pseudodifferential operators and their almost diagonalization
- Time-frequency analysis on modulation spaces \(M_{m}^{p,q}\), \(0 < p,q \leqslant \infty\).
- Foundations of time-frequency analysis
- Inverses of \(2\times 2\) block matrices
- Generalized Mehler formula for time-dependent non-selfadjoint quadratic operators and propagation of singularities
- Propagation of the homogeneous wave front set for Schrödinger equations
- Continuity properties for modulation spaces, with applications to pseudo-differential calculus. II
- An algebra of pseudodifferential operators
- Wiener algebras of Fourier integral operators
- Propagation of singularities and growth for Schrödinger operators
- Microlocal analytic smoothing effect for the Schrödinger equation
- Quantum harmonic analysis. An introduction
- Characterization of smooth symbol classes by Gabor matrix decay
- Wigner analysis of operators. I: Pseudodifferential operators and wave fronts
- Time-frequency analysis of operators
- Characterizations of some properties on weighted modulation and Wiener amalgam spaces
- Wave packet analysis of Schrödinger equations in analytic function spaces
- Propagation of exponential phase space singularities for Schrödinger equations with quadratic Hamiltonians
- Quasi-Banach algebras and Wiener properties for pseudodifferential and generalized metaplectic operators
- Characterization of modulation spaces by symplectic representations and applications to Schrödinger equations
- METAPLECTIC FORMULATION OF THE WIGNER TRANSFORM AND APPLICATIONS
- Generalized metaplectic operators and the Schrödinger equation with a potential in the Sjöstrand class
- Propagation of Singularities for Schrödinger Equations on the Euclidean Space with a Scattering Metric
- Symplectic Methods in Harmonic Analysis and in Mathematical Physics
- Singularities of solutions to the Schrödinger equation on scattering manifold
- Harmonic Analysis in Phase Space. (AM-122)
- Propagation of Gabor singularities for Schrödinger equations with quadratic Hamiltonians
- Propagation of polynomial phase space singularities for Schrödinger equations with quadratic Hamiltonians
- Microlocal dispersive smoothing for the Schrödinger equation
- Linear perturbations of the Wigner distribution and the Cohen class
- Modulation Spaces
- Propagation of the Gabor wave front set for Schrödinger equations with non-smooth potentials
- Continuity and compactness for pseudo-differential operators with symbols in quasi-Banach spaces or Hörmander classes
Related Items (4)
This page was built for publication: Wigner analysis of operators. II: Schrödinger equations