\(L^p\) spectral theory and heat dynamics of locally symmetric spaces

DOI10.1016/j.jfa.2009.11.011zbMath1190.58024arXiv0810.0209OpenAlexW2962805932MaRDI QIDQ846956

Andreas Weber, Lizhen Ji

Publication date: 16 February 2010

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0810.0209

zbMATH Keywords

Eisenstein serieslocally symmetric spaces\(L^p\) spectrumchaotic semigroups\(L^p\) heat semigroups\(L^p\) spectral theory

Mathematics Subject Classification ID

General topics in linear spectral theory for PDEs (35P05) One-parameter semigroups and linear evolution equations (47D06) Spectral problems; spectral geometry; scattering theory on manifolds (58J50) Heat and other parabolic equation methods for PDEs on manifolds (58J35)

Related Items

\(L^p\)-spectrum of the Dirac operator on products with hyperbolic spaces ⋮ The spectrum and heat dynamics of locally symmetric spaces of higher rank ⋮ Dynamics of \(L^p\) multipliers on harmonic manifolds ⋮ On well-posedness of semilinear parabolic and elliptic problems in the hyperbolic space ⋮ On well-posedness of the semilinear heat equation on the sphere

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