On poles of scattering matrices for several convex bodies
Journées équations aux dérivées partielles (1990), article no. 6, 9 p. 
@article{JEDP_1990____A6_0,
     author = {Ikawa, Mitsuru},
     title = {On poles of scattering matrices for several convex bodies},
     journal = {Journ\'ees \'equations aux d\'eriv\'ees partielles},
     eid = {6},
     pages = {1--9},
     publisher = {Ecole polytechnique},
     year = {1990},
     mrnumber = {91j:35212},
     language = {en},
     url = {http://archive.numdam.org/item/JEDP_1990____A6_0/}
}
TY  - JOUR
AU  - Ikawa, Mitsuru
TI  - On poles of scattering matrices for several convex bodies
JO  - Journées équations aux dérivées partielles
PY  - 1990
SP  - 1
EP  - 9
PB  - Ecole polytechnique
UR  - http://archive.numdam.org/item/JEDP_1990____A6_0/
LA  - en
ID  - JEDP_1990____A6_0
ER  - 
%0 Journal Article
%A Ikawa, Mitsuru
%T On poles of scattering matrices for several convex bodies
%J Journées équations aux dérivées partielles
%D 1990
%P 1-9
%I Ecole polytechnique
%U http://archive.numdam.org/item/JEDP_1990____A6_0/
%G en
%F JEDP_1990____A6_0
Ikawa, Mitsuru. On poles of scattering matrices for several convex bodies. Journées équations aux dérivées partielles (1990), article  no. 6, 9 p. http://archive.numdam.org/item/JEDP_1990____A6_0/

1. C. Bardos, J.C. Guillot and J. Ralston, La relation de Poisson pour l'équation des ondes dans un ouvert non borné. Application à la théorie de la diffusion, Comm. Partial Diff. Equ. 7 (1982), 905-958. | MR | Zbl

2. R. Bowen, “Equilibrium states and the ergodic theory of Anosov differomorphism”, S.L.M., 470, Springer-Verlag, Berlin, 1975. | MR | Zbl

3. C. Gérard, Asymptotique des poles de la matrice de scattering pour deux obstacles strictement convexes, Bull. S.M.F. Tome 116 Mémoire n° 31 (1989). | Numdam | Zbl

4. M. Ikawa, On the poles of the scattering matrix for two strictly convex obstacles, J.Math. Kyoto Univ. 23 (1983), 127-194. | MR | Zbl

5. M. Ikawa, Decay of solutions of the wave equation in the exterior of several convex bodies, Ann. Inst. Fourier 38 (1988), 113-146. | Numdam | MR | Zbl

6. M. Ikawa, On the existence of poles of the scattering matrix for several convex bodies, Proc. Japan Acad. 64 (1988), 91-93. | MR | Zbl

7. M. Ikawa, Singular perturbation of symbolic flows and poles of the zeta functions, to appear in Osaka J.Math. | Zbl

8. M. Ikawa, On the distribution of poles of the scattering matrix for several convex bodies, to appear in Proc. of Conference in Honor of Prof. T. Kato “Functional analysis and its applications”. | Zbl

9. M. Ikawa, On the existence of poles of zeta functions for certain symbolic dynamics, in preparation.

10. P.D. Lax and R.S. Phillips, “Scattering theory, Revised Edition”, Academic Press, New York, 1989. | MR | Zbl

11. R. Melrose, Polynomial bound on the distribution of poles in scattering by an obstacle, Journées Equations aux Dérivées Partielles, St.Jean de Monts (1984). | Numdam | Zbl

12. W. Parry, Bowen's equidistribution theory and the Dirichlet density theorem, Ergod. The. & Dynam. Sys. 4 (1984), 117-134. | MR | Zbl

13. W. Parry and M. Pollicott, An analogue of the prime number theorem for closed orbits of Axiom A flows, Ann.Math. 118 (1983), 537-591. | MR | Zbl