Book Review
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MathSciNet review:
1568132
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Book Information:
Author:
V.\ Shatalov V.\ Nazaikinskii, and B.\ Y.\ Sternin
Title:
Contact geometry and linear differential equations
Additional book information:
Walter de Gruyter, Berlin, 1992, vii+216 pp., US$69.00. ISBN 3-11-013381-4.
Ralph Abraham and Jerrold E. Marsden, Foundations of mechanics, Benjamin/Cummings Publishing Co., Inc., Advanced Book Program, Reading, Mass., 1978. Second edition, revised and enlarged; With the assistance of Tudor Raţiu and Richard Cushman. MR 515141
[2] T. Aoki, T. Kawai, and Y. Takei, Algebraic analysis of singular perturbations--on exact W.K.B. analysis, Preprint of Research Institute for Mathematical Sciences, Kyoto University, Kyoto, Japan (1993).
Jean-Luc Brylinski, Bernard Malgrange, and Jean-Louis Verdier, Transformation de Fourier géométrique. I, C. R. Acad. Sci. Paris Sér. I Math. 297 (1983), no. 1, 55–58 (French, with English summary). MR 719947
J. J. Duistermaat, Fourier integral operators, Courant Institute of Mathematical Sciences, New York University, New York, 1973. Translated from Dutch notes of a course given at Nijmegen University, February 1970 to December 1971. MR 0451313
Lars Hörmander, The calculus of Fourier integral operators, Prospects in mathematics (Proc. Sympos., Princeton Univ., Princeton, N.J., 1970) Ann. of Math. Studies, No. 70, Princeton Univ. Press, Princeton, N.J., 1971, pp. 33–57. MR 0341193
R. Hotta and M. Kashiwara, The invariant holonomic system on a semisimple Lie algebra, Invent. Math. 75 (1984), no. 2, 327–358. MR 732550, DOI 10.1007/BF01388568
Masaki Kashiwara and Pierre Schapira, Sheaves on manifolds, Grundlehren der mathematischen Wissenschaften [Fundamental Principles of Mathematical Sciences], vol. 292, Springer-Verlag, Berlin, 1994. With a chapter in French by Christian Houzel; Corrected reprint of the 1990 original. MR 1299726
Bernard Malgrange, Transformation de Fourier géometrique, Astérisque 161-162 (1988), Exp. No. 692, 4, 133–150 (1989) (French). Séminaire Bourbaki, Vol. 1987/88. MR 992206
[9] V. P. Maslov, Théorie des perturbations et méthodes asymptotiques, Études Mathématiques, Dunod, Paris, 1972.
Mikio Sato, Takahiro Kawai, and Masaki Kashiwara, Microfunctions and pseudo-differential equations, Hyperfunctions and pseudo-differential equations (Proc. Conf., Katata, 1971; dedicated to the memory of André Martineau), Lecture Notes in Math., Vol. 287, Springer, Berlin, 1973, pp. 265–529. MR 0420735
[11] A. Voros, Problème spectral de Sturm-Liouville; le Cas de l'Oscillateur Quartique, Séminaire, no. 35, Bourbaki, Astérisque Soc. Math. France, Paris, 1982/83.
- [1]
- R. Abraham and J. E. Marsden, Foundations of mechanics, Benjamin-Cummings, New York, 1978. MR 515141 (81e:58025)
- [2]
- T. Aoki, T. Kawai, and Y. Takei, Algebraic analysis of singular perturbations--on exact W.K.B. analysis, Preprint of Research Institute for Mathematical Sciences, Kyoto University, Kyoto, Japan (1993).
- [3]
- J.-L. Brylinski, B. Malgrange, and J.-L. Verdier, Transformation de Fourier géometrique. I et II, C. R. Acad. Sci. Paris 297 (1983), 55-58; and 303 (1986), 193-198. MR 719947 (85c:58098)
- [4]
- J. J. Duistermaat, Fourier integral operators, Courant Institute of Math. Sciences, New York, 1973 MR 0451313 (56:9600)
- [5]
- L. Hörmander, The calculus of Fourier integral operators, Ann. of Math. Stud. vol. 70, Princeton Univ. Press, Princeton, NJ, 1971, pp. 33-57. MR 0341193 (49:5943)
- [6]
- R. Hotta and M. Kashiwara, The invariant holonomic systems on a semisimple Lie algebra, Invent. Math. 25 (1984), 327-358. MR 732550 (87i:22041)
- [7]
- M. Kashiwara and P. Schapira, Sheaves on manifolds, Grundlehren Math. Wiss., vol. 292, Springer, New York, 1985. MR 1299726 (95g:58222)
- [8]
- B. Malgrange, Transformation de Fourier géometrique, Séminaire Bourbaki, Astérisque Soc. Math. France, Paris, 1987/88. MR 992206 (90c:58178)
- [9]
- V. P. Maslov, Théorie des perturbations et méthodes asymptotiques, Études Mathématiques, Dunod, Paris, 1972.
- [10]
- M. Sato, K. Kashiwara, and K. Kawai, Microfunctions and pseudodifferential equations, Lecture Notes in Math., vol. 287, Springer-Verlag, New York, 1973, pp. 265-529. MR 0420735 (54:8747)
- [11]
- A. Voros, Problème spectral de Sturm-Liouville; le Cas de l'Oscillateur Quartique, Séminaire, no. 35, Bourbaki, Astérisque Soc. Math. France, Paris, 1982/83.
Review Information:
Reviewer:
Teresa Monteiro Fernandes
Journal:
Bull. Amer. Math. Soc.
31 (1994), 308-311
DOI:
https://doi.org/10.1090/S0273-0979-1994-00540-3
