The Poisson summation formula for a Dirichlet problem with gliding and glancing rays

M. J. Bennett; F. G. Friedlander

Journées équations aux dérivées partielles (1982)

  • page 1-11
  • ISSN: 0752-0360

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Bennett, M. J., and Friedlander, F. G.. "The Poisson summation formula for a Dirichlet problem with gliding and glancing rays." Journées équations aux dérivées partielles (1982): 1-11. <http://eudml.org/doc/93077>.

@article{Bennett1982,
author = {Bennett, M. J., Friedlander, F. G.},
journal = {Journées équations aux dérivées partielles},
keywords = {Poisson summation formula; Dirichlet problem; compact Riemannian manifold with smooth boundary; contribution of geodesics},
language = {eng},
pages = {1-11},
publisher = {Ecole polytechnique},
title = {The Poisson summation formula for a Dirichlet problem with gliding and glancing rays},
url = {http://eudml.org/doc/93077},
year = {1982},
}

TY - JOUR
AU - Bennett, M. J.
AU - Friedlander, F. G.
TI - The Poisson summation formula for a Dirichlet problem with gliding and glancing rays
JO - Journées équations aux dérivées partielles
PY - 1982
PB - Ecole polytechnique
SP - 1
EP - 11
LA - eng
KW - Poisson summation formula; Dirichlet problem; compact Riemannian manifold with smooth boundary; contribution of geodesics
UR - http://eudml.org/doc/93077
ER -

References

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  1. [1] K.G. Andersson and R.B. Melrose. The propagation of singularities along gliding rays, Invent. Math.41 (1977), 23-95. Zbl0373.35053MR58 #13221
  2. [2] M.J. Bennett. To appear. 
  3. [3] J. Chazarain. Formule de Poisson pour les variétés riemanniennes, Invent. Math. 24 (1974), 65-82. Zbl0281.35028MR49 #8062
  4. [4] J.J. Duistermaat and V.W. Guillemin. The spectrum of positive elliptic operators and periodic geodesics, Invent. Math. 29 (1975), 29-79. Zbl0307.35071
  5. [5] V.W. Guillemin and R.B. Melrose, The Poisson summation formula for manifolds with boundary, Advances in Math. 32 (1979), 204-232. Zbl0421.35082MR80j:58066
  6. [6] V.Ya. Ivrii. Second term of the spectral asymptotic expansion of the Laplace-Beltrami operator for manifolds with boundary, Funkts. Anal. i Ego Pril. 14 (1980) 25-34/Funct.Anal.Applic.14 (1980) 98-106. Zbl0453.35068
  7. [7] R.B. Melrose. Forward scattering by a convex obstacle, Comm. Pure Appl.Math. 33 (1980), 461-499. Zbl0435.35066MR81k:35126
  8. [8] R.B. Melrose. Weyl's conjecture for manifolds with concave boundary, A.M.S. Proc.Symp.Pure Math. 36 (1980), 257-274. Zbl0436.58024MR82b:58101
  9. [9] F.W. J. Olver. Asymptotics and special functions, Acad.Press, 1974. Zbl0303.41035MR55 #8655
  10. [10] R.T. Seeley. A sharp asymptotic remainder estimate for the eigenvalues of the Laplacian in a domain of ℝ3, Advances in Math.29 (1978), 244-269. Zbl0382.35043MR80a:35096

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