\(G\)-spaces, the asymptotic splitting of \(L^2(M)\) into irreducibles
From MaRDI portal
Publication:1242553
DOI10.1007/BF01351556zbMath0368.53028MaRDI QIDQ1242553
Publication date: 1978
Published in: Mathematische Annalen (Search for Journal in Brave)
Full work available at URL: https://eudml.org/doc/182775
Differential geometry of homogeneous manifolds (53C30) Pseudodifferential and Fourier integral operators on manifolds (58J40) Global Riemannian geometry, including pinching (53C20)
Related Items
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 ⋮ Semi-classical weights and equivariant spectral theory ⋮ Singular equivariant asymptotics and Weyl's law. On the distribution of eigenvalues of an invariant elliptic operator ⋮ Equivariant spectral asymptotics for h-pseudodifferential operators ⋮ A Morse index formula for radial solutions of Lane-Emden problems ⋮ Inverse spectral results for non-abelian group actions ⋮ Spectral density estimates with partial symmetries and an application to Bahri-Lions-type results ⋮ Quantum ergodicity and symmetry reduction ⋮ Reduced Weyl asymptotics for pseudodifferential operators on bounded domains. II: The compact group case
Cites Work
- The spectrum of positive elliptic operators and periodic bicharacteristics
- Zeta functions and their asymptotic expansions for compact symmetric spaces of rank one
- The spectral function of an elliptic operator
- Curvature and the eigenvalues of the Laplacian
- Minimal submanifolds of low cohomogeneity
- Le spectre d'une variété riemannienne. (The spectrum of a Riemannian manifold)
- Elementary Solutions for Certain Parabolic Partial Differential Equations
- Morse Theory. (AM-51)
- Generic Properties of Eigenfunctions
- Some Properties of the Eigenfunctions of The Laplace-Operator on Riemannian Manifolds
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item