On the growth of eigenfunction averages: microlocalization and geometry

DOI10.1215/00127094-2019-0020zbMath1471.35213arXiv1710.07972OpenAlexW3104181201MaRDI QIDQ2287925

Yaiza Canzani, Jeffrey Galkowski

Publication date: 22 January 2020

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

Full work available at URL: https://arxiv.org/abs/1710.07972

zbMATH Keywords

recurrencequasimodesdefect measuresAnosov geodesic floweigenfunctions with maximal averages

Mathematics Subject Classification ID

Estimates of eigenvalues in context of PDEs (35P15) Asymptotic distributions of eigenvalues in context of PDEs (35P20) Schrödinger operator, Schrödinger equation (35J10) PDEs on manifolds (35R01)

Related Items (11)

Improved generalized periods estimates over curves on Riemannian surfaces with nonpositive curvature ⋮ Pointwise bounds for joint eigenfunctions of quantum completely integrable systems ⋮ Weyl remainders: an application of geodesic beams ⋮ On the growth of generalized Fourier coefficients of restricted eigenfunctions ⋮ A two term Kuznecov sum formula ⋮ Growth of high \(L^p\) norms for eigenfunctions: an application of geodesic beams ⋮ Improvements for eigenfunction averages: an application of geodesic beams ⋮ Fourier coefficients of restrictions of eigenfunctions ⋮ Geodesic biangles and Fourier coefficients of restrictions of eigenfunctions ⋮ Eigenfunction concentration via geodesic beams ⋮ Inner product of eigenfunctions over curves and generalized periods for compact Riemannian surfaces

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