Unbounded Hankel operators and the flow of the cubic Szegő equation

DOI10.1007/s00222-022-01176-zzbMath1525.47058arXiv2206.11543MaRDI QIDQ6040621

Patrick Gérard, Alexander Pushnitski

Publication date: 19 May 2023

Published in: Inventiones Mathematicae (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2206.11543

zbMATH Keywords

invariant subspaceunbounded operatorHankel operatorToeplitz operatorshift operatorLax pairsWold decompositionbounded mean oscillationflow map

Mathematics Subject Classification ID

Toeplitz operators, Hankel operators, Wiener-Hopf operators (47B35) Invariant subspaces of linear operators (47A15) NLS equations (nonlinear Schrödinger equations) (35Q55) Relations of infinite-dimensional Hamiltonian and Lagrangian dynamical systems with algebraic geometry, complex analysis, and special functions (37K20)

Related Items (2)

Jan Stochel, a stellar mathematician ⋮ Refined probabilistic local well-posedness for a cubic Schrödinger half-wave equation

Cites Work

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• Unbounded Hankel operators and moment problems
• Invariant tori for the cubic Szegö equation
• The classical moment problem as a self-adjoint finite difference operator
• Effective integrable dynamics for a certain nonlinear wave equation
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• Unbounded Sobolev trajectories and modified scattering theory for a wave guide nonlinear Schrödinger equation
• Weyl's theorem for nonnormal operators
• Harmonic analysis of operators on Hilbert space
• The cubic Szegő equation
• The cubic szego equation and hankel operators
• An explicit formula for the cubic Szegő equation
• The Spectra of Toeplitz's Matrices

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