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

### MSC:

 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

### Citations:

Zbl 0281.35028; Zbl 0307.35071
Full Text:

### References:

 [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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