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Book Information

Author(s): Masaki Kashiwara, Takahiro Kawai and Tatsuo Kimura
Title: Foundations of algebraic analysis
Additional book information: Translated by Goro Kato. Princeton Mathematical Series, vol. 37, Princeton University Press, Princeton, 1986, xii + 254 pp., $38.00. ISBN 0-691-08413-0

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2.: I. N. Bernstein, The analytic continuation of generalized functions with respect to a parameter, Funktsional. Anal. i Prilozhen 6 (1972), 26-40. MR 320735
3.: J. E. Björk, Rings of differential operators, North-Holland, 1980. MR 549189
4.: L. Boutet de Monvel and P. Kree, Pseudo-differential operators and Gevrey classes, Ann. Inst. Fourier (Grenoble) 17 (1967), 295-323. MR 226170
5.: I. M. Gel'fand and G. E. Shilov, Generalized functions. Vol. 1, Properties and operations, Academic Press, 1964 (reprinted by Harcourt Brace Jovanovich, 1977). MR 166596
6.: V. Guillemin, M. Kashiwara and T. Kawai, Seminar on microlocal analysis, Ann. of Math. Studies, no. 93, Princeton Univ. Press, 1980.
7.: V. Guillemin and S. Sternberg, Geometric asymptotics, Math. Surveys, no. 14, Amer. Math. Soc., Providence, R. I., 1977. MR 516965
8.: M. Kashiwara, On the holonomic systems of differential equations. II, Invent. Math. 49 (1978), 121-135. MR 511186
9.: M. Kashiwara, Systems of microdifferential equations, Progress in Math., vol. 34, Birkhäuser, 1983. MR 725502
10.: M. Kashiwara, B-functions and holonomic systems, Invent. Math. 38 (1976), 33-58. MR 430304
11.: M. Kashiwara and T. Kawai, On the holonomic systems of linear differential equations (systems with regular singularities). III, Publ. R. I. M. S. Kyoto Univ. 17 (1981), 813-979. MR 650216
12.: Le Dung Trang and Z. Mebkhout, Introduction to linear differential equations, Singularities, Part 2, Proc. Sympos. Pure Math., vol. 40, Amer. Math. Soc., Providence, R. I., 1983, pp. 31-63.
13.: B. Malgrange, L'involutivité des variétés caractéristiques des systèmes différentiels et microdifférentiels, Séminaire Bourbaki (1977/78) Exp. No. 522; Lecture Notes in Math., vol. 710, Springer-Verlag, Berlin and New York, 1979, pp. 277-289. MR 554227
14.: B. Malgrange, Polynômes de Bernstein-Sato et cohomologie évanescente, Astérisque 101-102 (1983). MR 737934
15.: A. Martineau, Les hyperfonctions de M. Sato, Séminaire Bourbaki 214 (1961-62), mimeographed, I.H.P., Paris.
16.: Z. Mebkhout, Une autre équivalence de catégories, Compositio Math. 51 (1984), 63-88. MR 734785
17.: T. Oda, Introduction to algebraic analysis of complex manifolds, Adv. Study Pure Math., no. 1, North-Holland, 1983. MR 715644
18.: M. Sato, M. Kashiwara and T. Kawai, Microfunctions and pseudodifferential equations, Lecture Notes in Math., vol. 287, Springer-Verlag, Berlin and New York, 1973, pp. 264-529. MR 420735
19.: P. Schapira, Microdifferential systems in the complex domain, Grundlehren Math. Wiss., Springer-Verlag, Berlin and New York, 1985. MR 774228
20.: T. Yano, b-functions and exponents of hypersurface isolated singularities, Singularities, Part 2, Proc. Sympos. Pure Math., vol. 40, Amer. Math. Soc., Providence, R. I., 1983, pp. 641-652. MR 713287

Review Information:
Journal: Bull. Amer. Math. Soc. 18 (1988), 104-108.
DOI: 10.1090/S0273-0979-1988-15622-4
PII: S 0273-0979(1988)15622-4

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ISSN 1088-9485(e) ISSN 0273-0979(p)

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