Concerning the $L^4$ norms of typical eigenfunctions on compact surfaces

zbMath1317.58035arXiv1011.0215MaRDI QIDQ5500036

Christopher D. Sogge, Steven Zelditch

Publication date: 5 August 2015

Full work available at URL: https://arxiv.org/abs/1011.0215

zbMATH Keywords

spherical harmonicseigenfunction esrtimates

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 (7)

Quantum ergodic restriction theorems: manifolds without boundary ⋮ Focal points and sup-norms of eigenfunctions ⋮ \(L^{p}\) norms, nodal sets, and quantum ergodicity ⋮ On nonlinear functionals of random spherical eigenfunctions ⋮ A few endpoint geodesic restriction estimates for eigenfunctions ⋮ The stochastic properties of \(\ell^1\)-regularized spherical Gaussian fields ⋮ Spherical harmonics with maximal \(L^p\) (\(2<p\leq 6\)) norm growth

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