Propriétés génériques des rayons réfléchissants et applications aux problèmes spectraux
Séminaire Équations aux dérivées partielles (Polytechnique) dit aussi "Séminaire Goulaouic-Schwartz" (1984-1985), Exposé no. 12, 15 p.
@article{SEDP_1984-1985____A12_0,
     author = {Petkov, V. M.},
     title = {Propri\'et\'es g\'en\'eriques des rayons r\'efl\'echissants et applications aux probl\`emes spectraux},
     journal = {S\'eminaire \'Equations aux d\'eriv\'ees partielles (Polytechnique) dit aussi "S\'eminaire Goulaouic-Schwartz"},
     note = {talk:12},
     publisher = {Ecole Polytechnique, Centre de Math\'ematiques},
     year = {1984-1985},
     zbl = {0597.35092},
     mrnumber = {819778},
     language = {fr},
     url = {http://www.numdam.org/item/SEDP_1984-1985____A12_0/}
}
Petkov, V. M. Propriétés génériques des rayons réfléchissants et applications aux problèmes spectraux. Séminaire Équations aux dérivées partielles (Polytechnique) dit aussi "Séminaire Goulaouic-Schwartz" (1984-1985), Exposé no. 12, 15 p. http://www.numdam.org/item/SEDP_1984-1985____A12_0/

[1] K. Andersson and R. Melrose, Invent. Math., 41, (1977), 197-232. | MR 494322 | Zbl 0373.35053

[2] C. Bardos, Y.C. Guillot et J. Ralston, Comm. in PDE, 7, (1982), 905-958. | MR 668585 | Zbl 0496.35067

[3] J. Chazarain, Invent. Math., 24, (1974), 65-82. | MR 343320 | Zbl 0281.35028

[4] Y. Colin De Verdière, Sur les longueurs des trajectoires périodiques d'un billiard, Institut Fourier de l'Université de Grenoble I, preprint, 1983. | Zbl 0599.58039

[5] J.J. Duistermaat and V. Guillemin, Invent. Math., 29, (1975), 39-79. | MR 405514 | Zbl 0307.35071

[6] M. Golubitsky and V. Guillemin, Stable mapping and their singularities, Springer, 1973. | MR 341518 | Zbl 0294.58004

[7] V. Guillemin and R. Melrose, Advances in Math., 32, (1979), 204-232. | MR 539531 | Zbl 0421.35082

[8] V. Guillemin and R. Melrose, A cohomological invariant of discrete dynamical systems, p. 672-679 in Christoffel Centennial Volume, Ed. P.L. Butzer and F. Feher, Birkhauser Verlag, Basel, 1981. | MR 661107 | Zbl 0482.58032

[9] B. Helffer Et Pham The Lai, Math. Scand., 48, (1981), 39-40. | MR 621414 | Zbl 0466.35061

[10] M. Hirsch, Differential Topology, Springer, New-York, 1976. | MR 448362 | Zbl 0356.57001

[11] M. Ikawa, Trapping obstacles with a sequence of poles of the scattering matrix converging to the real axis, University of Osaka, preprint, 1984. | MR 815439 | Zbl 0617.35102

[12] V. Ia. Ivrii, Funct. Analysis and its Appl., 14, (1980), 98-106.

[13] M. Kac, Amer. Math. Soc. Monthly, 73, (1966), 1-23. | Zbl 0139.05603

[14] V.F. Lazutkin, Convex billiard and eigenfunctions of the laplace operator, Ed. Lenigrad University, 1981, (in Russian). | MR 633153 | Zbl 0532.58031

[15] P. Lax and R. Phillips, Scattering Theory, Academic Press, New-York, 1967. | MR 217440 | Zbl 0186.16301

[16] S. Marvizi and R. Melrose, J. Diff. Geometry, 17, (1982), 475-502. | MR 679068 | Zbl 0492.53033

[17] R. Melrose and J. Sjôstrand, Comm. Pure Appl. Math., 31, (1978), 593-617 and 35, (1982), 129-168. | Zbl 0368.35020

[18] R. Melrose, J. Funct. Anal., 53, (1983), 287-303. | MR 724031 | Zbl 0535.35067

[19] V. Petkov et G. Popov, Ann. Inst. Fourier (Grenoble), 32, (1982), 114-149. | Numdam | MR 688023 | Zbl 0476.35014

[20] V. Petkov et P. Vogel, C.R. Acad. Sci. Paris, ser.A, 296, (1983), 633-635. | MR 705678 | Zbl 0543.35004

[21] V. Petkov, J. Math. Anal. Appl., 101, (1984), 582-587. | MR 748591 | Zbl 0562.35065

[22] V. Petkov, Séminaire Goulaouic-Meyer-Schwartz 1982-1983, Exposé n°VII. | Numdam

[23] V. Petkov and L. Stojanov, Periods of multiple reflecting geodesics and inverse spectral problems, preprint.

[24] O.A. Platonova, Russian Math. Surveys, 36, (1981), 248-249. | Zbl 0478.14027

[25] H. Soga, Conditions againt rapid decrease of oscillatory integrals and their applications to inverse scattering problems, preprint, 1984. | MR 856897 | Zbl 0617.35104