A note on $L^p$-norms of quasi-modes

zbMath1364.35219arXiv1401.0345MaRDI QIDQ2990294

Christopher D. Sogge, Steven Zelditch

Publication date: 29 July 2016

Full work available at URL: https://arxiv.org/abs/1401.0345

zbMATH Keywords

eigenfunctionsquasi-modesspectral projection operators

Mathematics Subject Classification ID

Spectral problems; spectral geometry; scattering theory on manifolds (58J50) Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42B10) Asymptotic distributions of eigenvalues in context of PDEs (35P20)

Related Items (6)

Uniform Sobolev estimates on compact manifolds involving singular potentials ⋮ Approximating pointwise products of quasimodes ⋮ Equidistribution of random waves on small balls ⋮ Growth of high \(L^p\) norms for eigenfunctions: an application of geodesic beams ⋮ Quasimode, eigenfunction and spectral projection bounds for Schrödinger operators on manifolds with critically singular potentials ⋮ Uniform Sobolev estimates in \(\mathbb{R}^n\) involving singular potentials

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