Completeness of boundary traces of eigenfunctions

DOI10.1112/plms/pdv018zbMath1328.58029arXiv1311.0935OpenAlexW3103795941WikidataQ125661333 ScholiaQ125661333MaRDI QIDQ2949681

Andrew Hassell, Xiaolong Han, Hamid Hezari, Steven Zelditch

Publication date: 2 October 2015

Published in: Proceedings of the London Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1311.0935

zbMATH Keywords

eigenvalueseigenfunctionsDirichlet LaplacianNeumann Laplaciancompleteness of boundary traces of eigenfunctions

Mathematics Subject Classification ID

Spectral problems; spectral geometry; scattering theory on manifolds (58J50) Completeness of eigenfunctions and eigenfunction expansions in context of PDEs (35P10) Asymptotic distributions of eigenvalues in context of PDEs (35P20) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05)

Related Items (5)

Eigenfunction asymptotics and spectral rigidity of the ellipse ⋮ Comparable upper and lower bounds for boundary values of Neumann eigenfunctions and tight inclusion of eigenvalues ⋮ Quantum ergodicity and \(L^{p}\) norms of restrictions of eigenfunctions ⋮ Reverse Agmon estimates in forbidden regions ⋮ Number of nodal domains of eigenfunctions on non-positively curved surfaces with concave boundary

Cites Work

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• Number of nodal domains of eigenfunctions on non-positively curved surfaces with concave boundary
• Focal points and sup-norms of eigenfunctions
• Quantum ergodic restriction theorems. I: Interior hypersurfaces in domains with ergodic billiards
• Ergodic properties of eigenfunctions for the Dirichlet problem
• Elliptic partial differential equations of second order
• Quantum ergodicity of boundary values of eigenfunctions
• \(C^\infty\) spectral rigidity of the ellipse
• Quantum ergodic restriction theorems: manifolds without boundary
• Abelian varieties over number fields, tame ramification and big Galois image
• The spectral function of an elliptic operator
• Boundary Quasi-Orthogonality and Sharp Inclusion Bounds for Large Dirichlet Eigenvalues
• Counting Open Nodal Lines of Random Waves on Planar Domains
• Asymptotic rate of quantum ergodicity in chaotic Euclidean billiards
• Kuznecov Sum Formulae and Szegˇ Limit Formulae on Manifolds
• Behaviour of boundary functions for quantum billiards
• Quantum Ergodicity of Boundary Values of Eigenfunctions: A Control Theory Approach

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