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Trace formula on a Euclidean surface with conical singularities

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Publication:1565928
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DOI10.1016/S1631-073X(02)02596-7zbMath1039.58024MaRDI QIDQ1565928

Luc Hillairet

Publication date: 27 May 2003

Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)


zbMATH Keywords

conical singularitiesTrace formulaPoisson relation


Mathematics Subject Classification ID

Hyperbolic equations on manifolds (58J45) Propagation of singularities; initial value problems on manifolds (58J47)


Related Items (6)

On non-diffractive cones ⋮ Spectral determinant on Euclidean isosceles triangle envelopes ⋮ The Neumann isospectral problem for trapezoids ⋮ Determinants of Laplacians for constant curvature metrics with three conical singularities on the 2-sphere ⋮ The Dirichlet isospectral problem for trapezoids ⋮ Contribution of periodic diffractive geodesics



Cites Work

  • Les surfaces euclidiennes à singularités coniques. (Euclidean surfaces with cone singularities)
  • The spectrum of positive elliptic operators and periodic bicharacteristics
  • Formule de Poisson pour les variétés riemanniennes
  • On the diffraction of waves by conical singularities. I
  • Fourier integral operators


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