Singular equivariant asymptotics and Weyl's law. On the distribution of eigenvalues of an invariant elliptic operator

DOI10.1515/crelle-2014-0008zbMath1348.58016OpenAlexW2319013383MaRDI QIDQ2629830

Pablo Ramacher

Publication date: 7 July 2016

Published in: Journal für die Reine und Angewandte Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/crelle-2014-0008

zbMATH Keywords

pseudodifferential operatorscompact group actionsasymptotic distribution of eigenvaluesequivariant Weyl's law

Mathematics Subject Classification ID

Pseudodifferential and Fourier integral operators on manifolds (58J40) Spectral theory; eigenvalue problems on manifolds (58C40) Pseudodifferential operators (47G30)

Related Items (7)

The equivariant spectral function of an invariant elliptic operator. \(L^p\)-bounds, caustics, and concentration of eigenfunctions ⋮ Addendum to: ``Singular equivariant asymptotics and Weyl's law ⋮ Equivariant spectral asymptotics for h-pseudodifferential operators ⋮ Asymptotics for Hecke eigenvalues of automorphic forms on compact arithmetic quotients ⋮ Quantum ergodicity and symmetry reduction ⋮ On the semiclassical functional calculus for \(h\)-dependent functions ⋮ Addendum to ``The equivariant spectral function of an invariant elliptic operator. \(L^p\)-bounds, caustics, and concentration of eigenfunctions

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