Book Review
The AMS does not provide abstracts of book reviews.
You may download the entire review from the links below.
MathSciNet review:
1568051
Full text of review:
PDF
This review is available free of charge.
Book Information:
Author:
V. M. Petkov and L. N. Stoyanov
Title:
Geometry of reflecting rays and inverse problems
Additional book information:
Wiley, New York, 1992, vi+313 pp. ISBN 0-471-93174-8.
C. Bardos, G. Lebeau, and J. Rauch, Scattering frequencies and Gevrey $3$ singularities, Invent. Math. 90 (1987), no. 1, 77–114. MR 906580, DOI 10.1007/BF01389032
J. Chazarain, Formule de Poisson pour les variétés riemanniennes, Invent. Math. 24 (1974), 65–82 (French). MR 343320, DOI 10.1007/BF01418788
J. J. Duistermaat and V. W. Guillemin, The spectrum of positive elliptic operators and periodic bicharacteristics, Invent. Math. 29 (1975), no. 1, 39–79. MR 405514, DOI 10.1007/BF01405172
[H] L. Hörmander, The analysis of linear partial differential operators. I-IV, Grundlehren Math. Wiss. 256, 257, 274, 275 (1983-1985).
Victor Ivriĭ, Precise spectral asymptotics for elliptic operators acting in fiberings over manifolds with boundary, Lecture Notes in Mathematics, vol. 1100, Springer-Verlag, Berlin, 1984. MR 771297, DOI 10.1007/BFb0072205
Peter D. Lax and Ralph S. Phillips, Scattering theory, Pure and Applied Mathematics, Vol. 26, Academic Press, New York-London, 1967. MR 0217440
[MS] R. Melrose and J. Sjöstrand, Singularities in boundary value problems. I, II, Comm. Pure. Appl. Math. 31 (1978), 593-617; 35 (1982), 129-168.
- [BLR]
- C. Bardos, G. Lebeau, and J. Rauch, Scattering frequencies and Gevrey 3 singularities, Invent. Math. 90 (1987), 77-114. MR 906580 (89h:35252)
- [C]
- J. Chazarain, Formule de Poisson pour les variétées riemanniennes, Invent. Math. 24 (1974), 65-82. MR 0343320 (49:8062)
- [DG]
- J. J. Duistermaat and V. Guillemin, The spectrum of positive elliptic operators and periodic geodesics, Invent. Math. 29 (1975), 39-79. MR 0405514 (53:9307)
- [H]
- L. Hörmander, The analysis of linear partial differential operators. I-IV, Grundlehren Math. Wiss. 256, 257, 274, 275 (1983-1985).
- [I]
- V. Ivrii, Precise spectral asymptotics for elliptic operators, Lecture Notes in Math., vol. 1100, Springer, New York, 1984. MR 771297 (86h:58139)
- [LP]
- P. Lax and R. Phillips, Scattering theory, Academic Press, New York, 1967. MR 0217440 (36:530)
- [MS]
- R. Melrose and J. Sjöstrand, Singularities in boundary value problems. I, II, Comm. Pure. Appl. Math. 31 (1978), 593-617; 35 (1982), 129-168.
Review Information:
Reviewer:
J. Sj"ostrand
Journal:
Bull. Amer. Math. Soc.
29 (1993), 124-125
DOI:
https://doi.org/10.1090/S0273-0979-1993-00402-6
