Microlocal limits of Eisenstein functions away from the unitarity axis

DOI10.4171/JST/26zbMath1241.58015arXiv1109.3338MaRDI QIDQ421853

Semyon Dyatlov

Publication date: 14 May 2012

Published in: Journal of Spectral Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1109.3338

zbMATH Keywords

semiclassical measuresEisenstein functionssurfaces with cusps

Mathematics Subject Classification ID

Scattering theory for PDEs (35P25) Asymptotic distributions of eigenvalues in context of PDEs (35P20) Fuchsian groups and automorphic functions (aspects of compact Riemann surfaces and uniformization) (30F35) Relations between spectral theory and ergodic theory, e.g., quantum unique ergodicity (58J51)

Related Items (7)

Long time quantum evolution of observables on cusp manifolds ⋮ Quantum limits of Eisenstein series in ℍ³ ⋮ Distorted plane waves on manifolds of nonpositive curvature ⋮ Distorted plane waves in chaotic scattering ⋮ Distribution of Resonances for Hyperbolic Surfaces ⋮ Quantum ergodicity for pseudo-Laplacians ⋮ Eisenstein quasimodes and semiclassical behavior of expectation values

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