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Eigenfunction concentration via geodesic beams (Q2030094)

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Language	Label	Description	Also known as
English	Eigenfunction concentration via geodesic beams	scientific article

Statements

scholarly article

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Eigenfunction concentration via geodesic beams (English)

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Jeffrey Galkowski

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Journal für die Reine und Angewandte Mathematik

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publication date

4 June 2021

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full work available at URL

https://arxiv.org/abs/1903.08461

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zbMATH Keywords

high frequency Laplace eigenfunctions

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MaRDI profile type

MaRDI publication profile

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Über die Eigenfunktionen auf geschlossenen Riemannschen Mannigfaltigkeiten

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On the wave equation on a compact Riemannian manifold without conjugate points

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Riemannian geometry of contact and symplectic manifolds

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Refined and microlocal Kakeya-Nikodym bounds of eigenfunctions in higher dimensions

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Concerning Toponogov's theorem and logarithmic improvement of estimates of eigenfunctions

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The \(\Theta\) function and the Weyl law on manifolds without conjugate points

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On the growth of eigenfunction averages: microlocalization and geometry

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Averages of eigenfunctions over hypersurfaces

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On integrals of eigenfunctions over geodesics

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Lower bounds for nodal sets of eigenfunctions

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Gaussian beam construction for adiabatic perturbations

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The spectrum of positive elliptic operators and periodic bicharacteristics

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Microlocal limits of plane waves and Eisenstein functions

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Mathematical Theory of Scattering Resonances

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Normal forms for Hamiltonian systems with Poisson commuting integrals - elliptic case

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Defect measures of eigenfunctions with maximal \(L^\infty\) growth

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Eigenfunction scarring and improvements in \(L^\infty\) bounds

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Pointwise bounds for joint eigenfunctions of quantum completely integrable systems

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Local analysis of Selberg's trace formula

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Improvement of eigenfunction estimates on manifolds of nonpositive curvature

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The spectral function of an elliptic operator

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\(L^ \infty\) norms of eigenfunctions of arithmetic surfaces

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Number of nodal domains and singular points of eigenfunctions of negatively curved surfaces with an isometric involution

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Riemannian manifolds with geodesic flow of Anosov type

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Riemannian geometry.

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Semiclassical \(L^p\) estimates

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On the construction of quasimodes associated with stable periodic orbits

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Approximate eigenfunctions of the Laplacian

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The Riemann Hypothesis for Selberg's Zeta-Function and the Asymptotic Behavior of Eigenvalues of the Laplace Operator

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Asymptotic of the spectral function of a positive elliptic operator without the nontrap condition

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Concerning the \(L^ p\) norm of spectral clusters for second-order elliptic operators on compact manifolds

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About the blowup of quasimodes on Riemannian manifolds

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Geodesic period integrals of eigenfunctions on Riemannian surfaces and the Gauss-Bonnet theorem

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Riemannian manifolds with maximal eigenfunction growth

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Focal points and sup-norms of eigenfunctions

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Focal points and sup-norms of eigenfunctions II: the two-dimensional case

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A note on constructing families of sharp examples for 𝐿^{𝑝} growth of eigenfunctions and quasimodes

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\(L^p\) estimates for joint quasimodes of semiclassical pseudodifferential operators

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\(L^{2}\)-restriction bounds for eigenfunctions along curves in the quantum completely integrable case

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\(L^p\) norms of eigenfunctions in the completely integrable case

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The asymptotic distribution of eigenvalues of differential operators

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Looping directions and integrals of eigenfunctions over submanifolds

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Explicit bounds on integrals of eigenfunctions over curves in surfaces of nonpositive curvature

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Kuznecov Sum Formulae and Szegˇ Limit Formulae on Manifolds

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Gaussian beams on Zoll manifolds and maximally degenerate Laplacians

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Identifiers

zbMATH Open document ID

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Mathematics Subject Classification ID

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zbMATH DE Number

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10.1515/CRELLE-2020-0039

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Sitelinks

Mathematics(1 entry)

mardi Publication:2030094

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