The spectrum of operators elliptic along the orbits of \({\mathbb{R}}^ n\) actions

DOI10.1007/BF01212421zbMath0643.58033MaRDI QIDQ1102014

Jingbo Xia, Jerome Kaminker

Publication date: 1987

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

zbMATH Keywords

foliationgroup actionoperator algebraperiodic elliptic operatorspectral dualityalmost-periodic Schrödinger operators

Mathematics Subject Classification ID

Spectral theory and eigenvalue problems for partial differential equations (35P99) Spectral problems; spectral geometry; scattering theory on manifolds (58J50) Exotic index theories on manifolds (58J22)

Related Items

The longitudinal cocycle and the index of Toeplitz operators ⋮ A generalized spectral duality theorem ⋮ The Spectra of Random Pseudo-Differential Operators ⋮ Groupoids, von Neumann algebras and the integrated density of states ⋮ The Floquet theory and the state density of quasi-periodic Schrödinger operators ⋮ Geometric invariants of the quantum Hall effect ⋮ Eigenvalues of almost periodic Schrödinger operators in \(L^ 2(b{\mathbb{R}})\) are at most double ⋮ On the spectra of Schrödinger operators

Cites Work

• Almost periodic Schrödinger operators: A review
• Spectral invariants of foliations
• The rotation number for almost periodic potentials
• Spectrum and its distribution function for a transversally elliptic operator
• ON THE COINCIDENCE OF THE SPECTRA OF RANDOM ELLIPTIC OPERATORS
• THE SPECTRAL THEORY AND THE INDEX OF ELLIPTIC OPERATORS WITH ALMOST PERIODIC COEFFICIENTS
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: The spectrum of operators elliptic along the orbits of \({\mathbb{R}}^ n\) actions