Geodesic restrictions of arithmetic eigenfunctions

DOI10.1215/00127094-3166736zbMath1377.11059arXiv1204.0781OpenAlexW2219690566MaRDI QIDQ267527

Simon Marshall

Publication date: 8 April 2016

Published in: Duke Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1204.0781

zbMATH Keywords

amplificationMaass formsymptotics of eigenfunctions

Mathematics Subject Classification ID

Asymptotic distributions of eigenvalues in context of PDEs (35P20) Hecke-Petersson operators, differential operators (one variable) (11F25) Automorphic forms on (mbox{GL}(2)); Hilbert and Hilbert-Siegel modular groups and their modular and automorphic forms; Hilbert modular surfaces (11F41)

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A symplectic restriction problem ⋮ Equidistribution of Eisenstein series on geodesic segments ⋮ EXTREME VALUES OF GEODESIC PERIODS ON ARITHMETIC HYPERBOLIC SURFACES ⋮ Geodesic biangles and Fourier coefficients of restrictions of eigenfunctions ⋮ Quantum ergodicity and \(L^{p}\) norms of restrictions of eigenfunctions ⋮ Mass equidistribution on the torus in the depth aspect

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