Looping directions and integrals of eigenfunctions over submanifolds

DOI10.1007/s12220-018-0039-xzbMath1416.58013arXiv1706.06717OpenAlexW2963520393WikidataQ125895455 ScholiaQ125895455MaRDI QIDQ2419735

E. Wyman

Publication date: 14 June 2019

Published in: The Journal of Geometric Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1706.06717

zbMATH Keywords

submanifoldseigenfunctionsKuznecov formulae

Mathematics Subject Classification ID

Spectral problems; spectral geometry; scattering theory on manifolds (58J50) Asymptotic distributions of eigenvalues in context of PDEs (35P20)

Related Items (7)

On the growth of generalized Fourier coefficients of restricted eigenfunctions ⋮ A two term Kuznecov sum formula ⋮ Improvements for eigenfunction averages: an application of geodesic beams ⋮ Geodesic biangles and Fourier coefficients of restrictions of eigenfunctions ⋮ Eigenfunction concentration via geodesic beams ⋮ On the growth of eigenfunction averages: microlocalization and geometry ⋮ Inner product of eigenfunctions over curves and generalized periods for compact Riemannian surfaces

Cites Work

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• Geodesic period integrals of eigenfunctions on Riemannian surfaces and the Gauss-Bonnet theorem
• Quantitative equidistribution properties of toral eigenfunctions
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• Fourier Integrals in Classical Analysis
• Kuznecov Sum Formulae and Szegˇ Limit Formulae on Manifolds
• Hangzhou Lectures on Eigenfunctions of the Laplacian
• On integrals of eigenfunctions over geodesics

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