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On zeta function and scattering poles for several convex bodies
Mitsuru Ikawa
Journées équations aux dérivées partielles (1994), article no. 2, 14 p.
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Zbl: 0872.58048
DOI: 10.5802/jedp.457
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@article{JEDP_1994____A2_0,
     author = {Mitsuru Ikawa},
     title = {On zeta function and scattering poles for several convex bodies},
     journal = {Journ\'ees \'equations aux d\'eriv\'ees partielles},
     eid = {2},
     publisher = {\'Ecole polytechnique},
     year = {1994},
     doi = {10.5802/jedp.457},
     zbl = {0872.58048},
     language = {en},
     url = {https://jedp.centre-mersenne.org/articles/10.5802/jedp.457/}
}
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UR  - https://zbmath.org/?q=an%3A0872.58048
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DO  - 10.5802/jedp.457
LA  - en
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%0 Journal Article
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%J Journées équations aux dérivées partielles
%D 1994
%I École polytechnique
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%R 10.5802/jedp.457
%G en
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Mitsuru Ikawa. On zeta function and scattering poles for several convex bodies. Journées équations aux dérivées partielles (1994), article  no. 2, 14 p. doi : 10.5802/jedp.457. https://jedp.centre-mersenne.org/articles/10.5802/jedp.457/
  • References
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1. R. Bowen, Equilibrium states and the ergodic theory of Anosov differomorphism, S. L. M., 470, Springer-Verlag, Berlin, 1975. | MR: 56 #1364 | Zbl: 0308.28010

2. N. Haydn, Meromorphic extension of the zeta function for Axiom A flows, Ergod. Th. & Dynam. Sys. 10 (1990), 347-360. | MR: 91g:58219 | Zbl: 0694.58035

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: 74796 | Numdam | MR: 90a:35028 | Zbl: 0636.35045

4. M. Ikawa, On the existence of poles of the scattering matrix for several convex bodies, Proc. Japan Acad. 64 (1988), 91-93. | MR: 90i:35211 | Zbl: 0704.35113

5. M. Ikawa, Singular perturbation of symbolic flows and poles of the zeta functions, Osaka J. Math. 27 (1990), 281-300. | MR: 91g:58220 | Zbl: 0708.58019

6. P. D. Lax and R. S. Phillips, Scattering theory. Revised edition, Academic Press, New York, 1989. | MR: 90k:35005 | Zbl: 0697.35004

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: 85i:58105 | Zbl: 0537.58038

8. M. Pollicott, Meromorphic extension of generalized zeta function, Invent. Math. 85 (1986), 147-164. | EuDML: 143362 | MR: 87k:58218 | Zbl: 0604.58042

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