Scattering phases and density of states for exterior domains
Annales de l'I.H.P. Physique théorique, Tome 62 (1995) no. 4, pp. 383-399.
@article{AIHPA_1995__62_4_383_0,
     author = {Eckmann, J.-P. and Pillet, C.-A.},
     title = {Scattering phases and density of states for exterior domains},
     journal = {Annales de l'I.H.P. Physique th\'eorique},
     pages = {383--399},
     publisher = {Gauthier-Villars},
     volume = {62},
     number = {4},
     year = {1995},
     mrnumber = {1343783},
     zbl = {0834.35095},
     language = {en},
     url = {http://www.numdam.org/item/AIHPA_1995__62_4_383_0/}
}
TY  - JOUR
AU  - Eckmann, J.-P.
AU  - Pillet, C.-A.
TI  - Scattering phases and density of states for exterior domains
JO  - Annales de l'I.H.P. Physique théorique
PY  - 1995
SP  - 383
EP  - 399
VL  - 62
IS  - 4
PB  - Gauthier-Villars
UR  - http://www.numdam.org/item/AIHPA_1995__62_4_383_0/
LA  - en
ID  - AIHPA_1995__62_4_383_0
ER  - 
%0 Journal Article
%A Eckmann, J.-P.
%A Pillet, C.-A.
%T Scattering phases and density of states for exterior domains
%J Annales de l'I.H.P. Physique théorique
%D 1995
%P 383-399
%V 62
%N 4
%I Gauthier-Villars
%U http://www.numdam.org/item/AIHPA_1995__62_4_383_0/
%G en
%F AIHPA_1995__62_4_383_0
Eckmann, J.-P.; Pillet, C.-A. Scattering phases and density of states for exterior domains. Annales de l'I.H.P. Physique théorique, Tome 62 (1995) no. 4, pp. 383-399. http://www.numdam.org/item/AIHPA_1995__62_4_383_0/

[AS] M. Abramowitz and I. Stegun, Handbook of Mathematical Functions, New York, Dover, 1965.

[BS] M.Sh. Birman and M.Z. Solomjak, Spectral Theory of Selfadjoint Operators in Hilbert Space, Dordrecht, Reidel, 1987. | Zbl

[DS] E. Doron and U. Smilansky, Semiclassical quantization of billards-a scattering approach. Nonlinearity, 1992, pp. 1055-1084. | MR | Zbl

[EP] J.-P. Eckmann and C.-A. Pillet, Spectral duality for planar billiards, Commun. Math. Phys. (to appear). | MR | Zbl

[JK] A. Jensen and T. Kato, Asymptotic behaviour of the scattering phase for exterior domains, Comm. Part. Diff. Equ., Vol. 3, 1978, pp. 1165-1195. | MR | Zbl

[MR] A. Majda and J. Ralston, An analogue of Weyl's formula for unbounded domains III. An epilogue, Duke Math. J., Vol. 46, 1979, pp. 725-731. | MR | Zbl

[M] R. Melrose, Weyl asymptotics for the phase in obstacle scattering, Comm. Part. Diff. Equ., Vol. 13, 1988, pp. 1431-1439. | MR | Zbl

[S] A.W. Sobolev, Efficient bounds for the spectral phase shift, Ann. Inst. Henri-Poincaré, Vol. 58, 1993, pp. 55-83. | Numdam | MR | Zbl

[U] I. Ussishkin, Private communication.

[Y] D.R. Yafaev, Mathematical Scattering Theory, Providence, Rhode Island, AMS, 1992. | MR | Zbl