Exhausting families of representations and spectra of pseudodifferential operators

zbMath1424.46073arXiv1411.7921MaRDI QIDQ4637473

Nicolas Prudhon, Victor Nistor

Publication date: 23 April 2018

Full work available at URL: https://arxiv.org/abs/1411.7921

zbMATH Keywords

self-adjoint operatoressential spectrumoperator spectrum

Mathematics Subject Classification ID

General topics in linear spectral theory for PDEs (35P05) Representations of topological algebras with involution (46K10) Spectrum, resolvent (47A10)

Related Items (12)

Analysis on singular spaces: Lie manifolds and operator algebras ⋮ A general Simonenko local principle and Fredholm condition for isotypical components ⋮ On Persson's formula: an étale groupoid approach ⋮ The essential spectrum of \(N\)-body systems with asymptotically homogeneous order-zero interactions ⋮ Exhaustive families of representations of \(C^{\ast}\)-algebras associated with \(N\)-body Hamiltonians with asymptotically homogeneous interactions ⋮ Compact sequences in quasifractal algebras ⋮ Fredholm criteria for pseudodifferential operators and induced representations of groupoid algebras ⋮ Elliptic operators associated with groups of quantized canonical transformations ⋮ The Fredholm property for groupoids is a local property ⋮ Limit operator theory for groupoids ⋮ Fredholm Conditions on Non-compact Manifolds: Theory and Examples ⋮ Hölder continuity of the spectra for aperiodic Hamiltonians

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