The Poisson summation formula for a Dirichlet problem with gliding and glancing rays
Journées équations aux dérivées partielles (1982), article no. 21, 11 p.
@article{JEDP_1982____A21_0,
     author = {Bennett, M. J. and Friedlander, F. G.},
     title = {The {Poisson} summation formula for a {Dirichlet} problem with gliding and glancing rays},
     journal = {Journ\'ees \'equations aux d\'eriv\'ees partielles},
     eid = {21},
     pages = {1--11},
     publisher = {Ecole polytechnique},
     year = {1982},
     zbl = {0492.31009},
     language = {en},
     url = {http://archive.numdam.org/item/JEDP_1982____A21_0/}
}
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Bennett, M. J.; Friedlander, F. G. The Poisson summation formula for a Dirichlet problem with gliding and glancing rays. Journées équations aux dérivées partielles (1982), article  no. 21, 11 p. http://archive.numdam.org/item/JEDP_1982____A21_0/

[1] K.G. Andersson and R.B. Melrose. The propagation of singularities along gliding rays, Invent. Math.41 (1977), 23-95. | MR | Zbl

[2] M.J. Bennett. To appear.

[3] J. Chazarain. Formule de Poisson pour les variétés riemanniennes, Invent. Math. 24 (1974), 65-82. | MR | Zbl

[4] J.J. Duistermaat and V.W. Guillemin. The spectrum of positive elliptic operators and periodic geodesics, Invent. Math. 29 (1975), 29-79. | Zbl

[5] V.W. Guillemin and R.B. Melrose, The Poisson summation formula for manifolds with boundary, Advances in Math. 32 (1979), 204-232. | MR | Zbl

[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. | Zbl

[7] R.B. Melrose. Forward scattering by a convex obstacle, Comm. Pure Appl.Math. 33 (1980), 461-499. | MR | Zbl

[8] R.B. Melrose. Weyl's conjecture for manifolds with concave boundary, A.M.S. Proc.Symp.Pure Math. 36 (1980), 257-274. | MR | Zbl

[9] F.W. J. Olver. Asymptotics and special functions, Acad.Press, 1974. | MR | Zbl

[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. | MR | Zbl