This is a preview of subscription content, log in via an institution to check access.
References
Sato, M., Kimura, T.: A classification of irreducible prehomogeneous vector spaces and their relative invariants. Nagoya Math. J,65, 1–155 (1977)
Sato, M., Kawai, T., Kashiwara, M.: Hyperfunctions and Pseudo-differential Equations. Lecture Notes in Mathematics 287, Berlin Heidelberg New York: Springer-Verlag
Sato, M., Shintani, T.: On zeta-functions associated with prehomogeneous vector spaces. Ann. of Math.,100, 131–170 (1974)
Sato, M.: Theory of prehomogeneous vector spaces, (noted by T. Shintani in Japanese). Sugaku no ayumi,15, 85–157 (1970)
Shintani, T.: On Dirichlet series whose coefficients are class-numbers of integral binary cubic forms. J. Math. Soc. Japan,24, 132–188 (1972)
Servedio, F.: Affine Open Orbits, Reductive Isotropy Groups, and Dominant Gradient Morphisms: A Theorem of Mikio Sato. Pacific J. of Math.,72, 537–545 (1977)
Kashiwara, M.: B-Functions and Holonomic Systems (Rationality ofb-functions). Inv.38, 33–53 (1976)
Kashiwara, M., Kawai, T.: On holonomic systems for\(\mathop \Pi \limits_{l = 1}^N (f_1 + \sqrt { - 1} 0)^{\lambda t} \), RIMS, to appear
Kashiwara, M., Kawai, T.: Holonomic systems of micro-differential equations III, to appear
Sato, M., Kashiwara, M.: The determinant of matrices of pseudo-differential operators. Proc. Japan Acad.51, 17–19 (1975)
Carathéodory, C.: Calculus of Variations and Partial Differential Equations of the First Order, Part 1, Amsterdam: Holden-Day 1965, Translated from the German original, 1935
Oshima, T.: Singularities in contact geometry and degenerate pseudo-differential equations. J. Fac. Sci. Univ. Tokyo Sec. IA21, 43–83 (1974)
Kashiwara, M., Oshima, T.: Systems of differential equations with regular singularities and their boundary value problems. Ann. of Math.,106, 145–200 (1977)
Bernstein, I.N.: The analytic continuation of generalized functions with respect to a parameter. Functional Anal. Appl.6, 26–40 (1972)
Kimura, T.: Theb-functions and holonomy diagrams of irreducible regular prehomogeneous vector spaces, to appear
Bijork, J.E.: Rings of differential operators, Amsterdam: North-Holland 1979
Boutet de Monvel-Kree: Pseudo-differential operators and Gevrey classes. Ann. Inst. Fourier17, 295–323 (1967)
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Sato, M., Kashiwara, M., Kimura, T. et al. Micro-local analysis of prehomogeneous vector spaces. Invent Math 62, 117–179 (1980). https://doi.org/10.1007/BF01391666
Received:
Revised:
Issue Date:
DOI: https://doi.org/10.1007/BF01391666