The Poisson summation formula for manifolds with boundary. (English) Zbl 0421.35082


35S05 Pseudodifferential operators as generalizations of partial differential operators
35J05 Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation
58J40 Pseudodifferential and Fourier integral operators on manifolds
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[1] Andersson, K.; Melrose, R., The propagation of singularities along gliding rays, Invent. Math., 41, 23-95 (1977) · Zbl 0358.35048
[2] Chazarain, J., Construction de la paramétrix du problème mixte hyperbolique pour l’équation des ondes, C. R. Acad. Sci. Paris Sér. A.-B., 276, 1213-1215 (1973) · Zbl 0253.35058
[3] Chazarain, J., Formule de Poisson pour les variétés riemanniennes, Invent. Math., 24, 65-82 (1974) · Zbl 0281.35028
[4] Duistermaat, J. J.; Guillemin, V., The spectrum of positive elliptic operators and periodic geodesics, Invent. Math., 29, 39-79 (1975) · Zbl 0307.35071
[5] Duistermaat, J. J.; Hörmander, L., Fourier integral operators, II, Acta Math., 128, 183-269 (1972) · Zbl 0232.47055
[6] Hörmander, L., Fourier integral operators, I, Acta Math., 127, 79-183 (1971) · Zbl 0212.46601
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