\(L^{p}\)-spectral theory of locally symmetric spaces with \(\mathbb{Q}\)-rank one

DOI10.1007/s11040-007-9026-3zbMath1139.58026arXiv0707.2477OpenAlexW3106107633MaRDI QIDQ2475275

Andreas Weber

Publication date: 11 March 2008

Published in: Mathematical Physics, Analysis and Geometry (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0707.2477

zbMATH Keywords

Laplace-Beltrami operatorlocally symmetric space\(L^p\) spectrumarithmetic latticesheat semigroup on \(L^p\) spacesmanifolds with cusps of rank one

Mathematics Subject Classification ID

General topics in linear spectral theory for PDEs (35P05) Spectral problems; spectral geometry; scattering theory on manifolds (58J50) Differential geometry of symmetric spaces (53C35) Spectral theory; trace formulas (e.g., that of Selberg) (11F72)

Related Items (5)

The \(L^p\) spectrum of locally symmetric spaces with small fundamental group ⋮ \(L^p\) spectral theory and heat dynamics of locally symmetric spaces ⋮ The spectrum and heat dynamics of locally symmetric spaces of higher rank ⋮ Pointwise bounds for \(L^{2}\) eigenfunctions on locally symmetric spaces ⋮ A Hodge-type theorem for manifolds with fibered cusp metrics

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