scientific article

zbMath0538.58037MaRDI QIDQ3324710

Pierre H. Bérard

Publication date: 1983

Full work available at URL: http://www.numdam.org/item?id=CM_1983__48_1_35_0

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zbMATH Keywords

geodesic flowLaplace-Beltrami operatorwave front setRiemannian polyhedra

Mathematics Subject Classification ID

Spectral problems; spectral geometry; scattering theory on manifolds (58J50) Asymptotic distributions of eigenvalues in context of PDEs (35P20) Relations of PDEs with special manifold structures (Riemannian, Finsler, etc.) (58J60)

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Cites Work

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• Spectres et groupes cristallographiques. II: Domaines sphériques. (Spectra and crystallographic groups. II: Spherical domains)
• Spectres et groupes cristallographiques. I: Domaines euclidiens. (Spectra and crystallographic groups. I: Euclidean domains)
• Second term of the spectral asymptotic expansion of the Laplace-Beltrami operator on manifolds with boundary
• The spectrum of positive elliptic operators and periodic bicharacteristics
• On the wave equation on a compact Riemannian manifold without conjugate points
• A sharp asymptotic remainder estimate for the eigenvalues of the Laplacian in a domain of \(R^3\)
• Pseudo differential operators
• Über die asymptotische Verteilung der Eigenwerte des Laplace-Operators für Gebiete auf der Kugeloberfläche
• Compact Clifford-Klein forms of symmetric spaces
• SPECTRAL THEORY OF AUTOMORPHIC FUNCTIONS, THE SELBERG ZETA-FUNCTION, AND SOME PROBLEMS OF ANALYTIC NUMBER THEORY AND MATHEMATICAL PHYSICS
• An Estimate Near the Boundary for the Spectral Function of the Laplace Operator
• Meillieurs estimations asymptotiques des restes de la fonctionn spectrale et des valeurs propres relatifs au laplacien.
• Lectures on spectral theory of elliptic operators

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