\(L^p\)-bounds on spectral clusters associated to polygonal domains

DOI10.4171/RMI/1016zbMath1401.58015arXiv1504.00079OpenAlexW2964210763MaRDI QIDQ1989538

Jeremy L. Marzuola, Matthew D. Blair, G. Austin Ford

Publication date: 26 October 2018

Published in: Revista Matemática Iberoamericana (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1504.00079

zbMATH Keywords

polygonsspectral clustersconic singularities

Mathematics Subject Classification ID

Spectral problems; spectral geometry; scattering theory on manifolds (58J50) Elliptic equations on manifolds, general theory (58J05)

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Uniform resolvent estimates for Laplace-Beltrami operator on the flat Euclidean cone ⋮ Quantum ergodicity and \(L^{p}\) norms of restrictions of eigenfunctions

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