The spectral function of a Riemannian orbifold

DOI10.1007/s10455-010-9244-yzbMath1223.58024OpenAlexW2012288401WikidataQ115384611 ScholiaQ115384611MaRDI QIDQ540463

Alejandro Uribe, Elizabeth Stanhope

Publication date: 3 June 2011

Published in: Annals of Global Analysis and Geometry (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10455-010-9244-y

zbMATH Keywords

orbifoldspectral functionwave trace

Mathematics Subject Classification ID

Spectral problems; spectral geometry; scattering theory on manifolds (58J50) Pseudodifferential and Fourier integral operators on manifolds (58J40) Perturbations of PDEs on manifolds; asymptotics (58J37)

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The equivariant spectral function of an invariant elliptic operator. \(L^p\)-bounds, caustics, and concentration of eigenfunctions ⋮ Geodesics on weighted projective spaces ⋮ The wave trace of the basic Laplacian of a Riemannian foliation near a non-zero period ⋮ On real analytic orbifolds and Riemannian metrics ⋮ Classical and quantum ergodicity on orbifolds ⋮ Quantum ergodicity and symmetry reduction ⋮ On the isospectral orbifold-manifold problem for nonpositively curved locally symmetric spaces ⋮ $\Gamma $-extensions of the spectrum of an orbifold ⋮ Overview of the geometries of shape spaces and diffeomorphism groups ⋮ Asymptotic expansion of the heat kernel for orbifolds

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