Propriétés génériques des rayons réfléchissants et applications aux problèmes spectraux

V. M. Petkov

Séminaire Équations aux dérivées partielles (Polytechnique) (1984-1985)

  • page 1-15

How to cite

top

Petkov, V. M.. "Propriétés génériques des rayons réfléchissants et applications aux problèmes spectraux." Séminaire Équations aux dérivées partielles (Polytechnique) (1984-1985): 1-15. <http://eudml.org/doc/111864>.

@article{Petkov1984-1985,
author = {Petkov, V. M.},
journal = {Séminaire Équations aux dérivées partielles (Polytechnique)},
keywords = {tempered distribution; diffusion matrix; generalized periodic geodesics},
language = {fre},
pages = {1-15},
publisher = {Ecole Polytechnique, Centre de Mathématiques},
title = {Propriétés génériques des rayons réfléchissants et applications aux problèmes spectraux},
url = {http://eudml.org/doc/111864},
year = {1984-1985},
}

TY - JOUR
AU - Petkov, V. M.
TI - Propriétés génériques des rayons réfléchissants et applications aux problèmes spectraux
JO - Séminaire Équations aux dérivées partielles (Polytechnique)
PY - 1984-1985
PB - Ecole Polytechnique, Centre de Mathématiques
SP - 1
EP - 15
LA - fre
KW - tempered distribution; diffusion matrix; generalized periodic geodesics
UR - http://eudml.org/doc/111864
ER -

References

top
  1. [1] K. Andersson and R. Melrose, Invent. Math., 41, (1977), 197-232. Zbl0373.35053MR494322
  2. [2] C. Bardos, Y.C. Guillot et J. Ralston, Comm. in PDE, 7, (1982), 905-958. Zbl0496.35067MR668585
  3. [3] J. Chazarain, Invent. Math., 24, (1974), 65-82. Zbl0281.35028MR343320
  4. [4] Y. Colin de Verdière, Sur les longueurs des trajectoires périodiques d'un billiard, Institut Fourier de l'Université de Grenoble I, preprint, 1983. Zbl0599.58039
  5. [5] J.J. Duistermaat and V. Guillemin, Invent. Math., 29, (1975), 39-79. Zbl0307.35071MR405514
  6. [6] M. Golubitsky and V. Guillemin, Stable mapping and their singularities, Springer, 1973. Zbl0294.58004MR341518
  7. [7] V. Guillemin and R. Melrose, Advances in Math., 32, (1979), 204-232. Zbl0421.35082MR539531
  8. [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. Zbl0482.58032MR661107
  9. [9] B. Helffer et PhamThe Lai, Math. Scand., 48, (1981), 39-40. Zbl0466.35061MR621414
  10. [10] M. Hirsch, Differential Topology, Springer, New-York, 1976. Zbl0356.57001MR448362
  11. [11] M. Ikawa, Trapping obstacles with a sequence of poles of the scattering matrix converging to the real axis, University of Osaka, preprint, 1984. Zbl0617.35102MR815439
  12. [12] V. Ia. Ivrii, Funct. Analysis and its Appl., 14, (1980), 98-106. 
  13. [13] M. Kac, Amer. Math. Soc. Monthly, 73, (1966), 1-23. Zbl0139.05603
  14. [14] V.F. Lazutkin, Convex billiard and eigenfunctions of the laplace operator, Ed. Lenigrad University, 1981, (in Russian). Zbl0532.58031MR633153
  15. [15] P. Lax and R. Phillips, Scattering Theory, Academic Press, New-York, 1967. Zbl0186.16301MR217440
  16. [16] S. Marvizi and R. Melrose, J. Diff. Geometry, 17, (1982), 475-502. Zbl0492.53033MR679068
  17. [17] R. Melrose and J. Sjôstrand, Comm. Pure Appl. Math., 31, (1978), 593-617 and 35, (1982), 129-168. Zbl0368.35020
  18. [18] R. Melrose, J. Funct. Anal., 53, (1983), 287-303. Zbl0535.35067MR724031
  19. [19] V. Petkov et G. Popov, Ann. Inst. Fourier (Grenoble), 32, (1982), 114-149. Zbl0476.35014MR688023
  20. [20] V. Petkov et P. Vogel, C.R. Acad. Sci. Paris, ser.A, 296, (1983), 633-635. Zbl0543.35004MR705678
  21. [21] V. Petkov, J. Math. Anal. Appl., 101, (1984), 582-587. Zbl0562.35065MR748591
  22. [22] V. Petkov, Séminaire Goulaouic-Meyer-Schwartz 1982-1983, Exposé n°VII. 
  23. [23] V. Petkov and L. Stojanov, Periods of multiple reflecting geodesics and inverse spectral problems, preprint. 
  24. [24] O.A. Platonova, Russian Math. Surveys, 36, (1981), 248-249. Zbl0478.14027
  25. [25] H. Soga, Conditions againt rapid decrease of oscillatory integrals and their applications to inverse scattering problems, preprint, 1984. Zbl0617.35104MR856897

NotesEmbed ?

top

You must be logged in to post comments.

To embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.

Only the controls for the widget will be shown in your chosen language. Notes will be shown in their authored language.

Tells the widget how many notes to show per page. You can cycle through additional notes using the next and previous controls.

    
                

Note: Best practice suggests putting the JavaScript code just before the closing </body> tag.