Connes' integration and Weyl's laws

DOI10.4171/jncg/509arXiv2107.01242OpenAlexW3178494131MaRDI QIDQ6111637

Raphaël Ponge

Publication date: 4 August 2023

Published in: Journal of Noncommutative Geometry (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2107.01242

zbMATH Keywords

noncommutative geometryWeyl operatorspectral analysispseudodifferential operatorDixmier tracemeasurable operatorWeyl's lawnoncommutative integrationweak Schatten classes

Mathematics Subject Classification ID

Linear operators belonging to operator ideals (nuclear, (p)-summing, in the Schatten-von Neumann classes, etc.) (47B10) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Pseudodifferential and Fourier integral operators on manifolds (58J40) Noncommutative geometry (à la Connes) (58B34) Pseudodifferential operators (47G30)

Related Items

Cwikel estimates and negative eigenvalues of Schrödinger operators on noncommutative tori ⋮ Connes' integration and Weyl's laws ⋮ Weyl's law for the Steklov problem on surfaces with rough boundary ⋮ A groupoid approach to the Wodzicki residue ⋮ Weyl asymptotics for Poincaré-Steklov eigenvalues in a domain with Lipschitz boundary ⋮ Eigenvalues of the Birman-Schwinger operator for singular measures: the noncritical case

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