\(L^2\)-spectrum, growth indicator function and critical exponent on locally symmetric spaces

DOI10.1090/PROC/16935MaRDI QIDQ6658185

Lasse L. Wolf, Hongwei Zhang

Publication date: 8 January 2025

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

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Mathematics Subject Classification ID

Semisimple Lie groups and their representations (22E46) Discrete subgroups of Lie groups (22E40) Spectral theory; eigenvalue problems on manifolds (58C40)

Cites Work

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• Asymptotic properties of linear groups
• Hausdorff dimensions of limit sets. I
• The limit set of a Fuchsian group
• Patterson-Sullivan theory in higher rank symmetric spaces
• Kazhdan's property (T), \(L^2\)-spectrum and isoperimetric inequalities for locally symmetric spaces
• Small eigenvalues of geometrically finite manifolds
• Related aspects of positivity in Riemannian geometry
• Uniform pointwise bounds for matrix coefficients of unitary representations and applications to Kazhdan constants
• Exponential divergence of discrete subgroups of higher rank.
• Bottom of the \(L^2\) spectrum of the Laplacian on locally symmetric spaces
• Die Resolvente zum Eigenwertproblem der automorphen Formen in der hyperbolischen Ebene. II
• Die Resolvente zum Eigenwertproblem der automorphen Formen in der hyperbolischen Ebene. III
• HEAT KERNEL BOUNDS, POINCARÉ SERIES, AND L² SPECTRUM FOR LOCALLY SYMMETRIC SPACES
• Critical exponents of discrete groups and 𝐿²–spectrum
• Resolvente zum Eigenwertproblem der automorphen Formen in der hyperbolischen Ebene. I
• Temperedness of $L^2(\Gamma {\setminus } G)$ and positive eigenfunctions in higher rank
• Temperedness of locally symmetric spaces: The product case
• Dichotomy and measures on limit sets of Anosov groups

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