Upper bounds for the spectral function on homogeneous spaces via volume growth

DOI10.4171/rmi/1103zbMath1436.58023arXiv1704.01108OpenAlexW2965108079MaRDI QIDQ2280512

Russell Lyons, Christopher M. Judge

Publication date: 18 December 2019

Published in: Revista Matemática Iberoamericana (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1704.01108

zbMATH Keywords

eigenvaluesheat kernelLaplaciancompactspectral embeddingnoncompact

Mathematics Subject Classification ID

Differential geometry of homogeneous manifolds (53C30) Estimates of eigenvalues in context of PDEs (35P15) Spectral problems; spectral geometry; scattering theory on manifolds (58J50) Harmonic analysis on homogeneous spaces (43A85) PDEs on manifolds (35R01)

Related Items (3)

Diameter and Laplace eigenvalue estimates for left-invariant metrics on compact Lie groups ⋮ On the smallest Laplace eigenvalue for naturally reductive metrics on compact simple Lie groups ⋮ Diameter and Laplace eigenvalue estimates for compact homogeneous Riemannian manifolds

Cites Work

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