@incollection{JEDP_1994____A2_0, author = {Mitsuru Ikawa}, title = {On zeta function and scattering poles for several convex bodies}, booktitle = {}, series = {Journ\'ees \'equations aux d\'eriv\'ees partielles}, eid = {2}, pages = {1--14}, publisher = {\'Ecole polytechnique}, year = {1994}, zbl = {0872.58048}, language = {en}, url = {https://proceedings.centre-mersenne.org/item/JEDP_1994____A2_0/} }
TY - JOUR AU - Mitsuru Ikawa TI - On zeta function and scattering poles for several convex bodies JO - Journées équations aux dérivées partielles PY - 1994 SP - 1 EP - 14 PB - École polytechnique UR - https://proceedings.centre-mersenne.org/item/JEDP_1994____A2_0/ LA - en ID - JEDP_1994____A2_0 ER -
Mitsuru Ikawa. On zeta function and scattering poles for several convex bodies. Journées équations aux dérivées partielles (1994), article no. 2, 14 p. https://proceedings.centre-mersenne.org/item/JEDP_1994____A2_0/
1. R. Bowen, Equilibrium states and the ergodic theory of Anosov differomorphism, S. L. M., 470, Springer-Verlag, Berlin, 1975. | MR | Zbl
2. N. Haydn, Meromorphic extension of the zeta function for Axiom A flows, Ergod. Th. & Dynam. Sys. 10 (1990), 347-360. | MR | Zbl
3. M. Ikawa, Decay of solutions of the wave equation in the exterior of several convex bodies, Ann. Inst. Fourier 38 (1988), 113-146. | EuDML | Numdam | MR | Zbl
4. M. Ikawa, On the existence of poles of the scattering matrix for several convex bodies, Proc. Japan Acad. 64 (1988), 91-93. | MR | Zbl
5. M. Ikawa, Singular perturbation of symbolic flows and poles of the zeta functions, Osaka J. Math. 27 (1990), 281-300. | MR | Zbl
6. P. D. Lax and R. S. Phillips, Scattering theory. Revised edition, Academic Press, New York, 1989. | MR | Zbl
7. 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
8. M. Pollicott, Meromorphic extension of generalized zeta function, Invent. Math. 85 (1986), 147-164. | EuDML | MR | Zbl