Advertisement

Inventiones mathematicae

, Volume 38, Issue 1, pp 33–53 | Cite as

B-functions and holonomic systems

Rationality of roots ofB-functions
  • Masaki Kashiwara
Article

Keywords

Holonomic System 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. 1.
    Bernstein, I. N.: The analytic continuation of generalized functions with respect to a parameter. Functional Anal. Appl.6, 26–40 (1972)Google Scholar
  2. 2.
    Bernstein, I. N., Gelfand, S. I.: Meromorphy of the functionP λ. Functional Anal. Appl.3, 84–86 (1969)Google Scholar
  3. 3.
    Björk, J. E.: Dimensions over Algebras of Differential Operators. PreprintGoogle Scholar
  4. 4.
    Kashiwara, M.: Algebraic study of systems of partial differential equations. Master's thesis, Univ. of Tokyo, 1971 (Japanese)Google Scholar
  5. 5.
    Kashiwara, M.: On the maximally overdetermined system of linear differential equations. I. Publ. RIMS, Kyoto Univ.10, 563–579 (1975)Google Scholar
  6. 6.
    Kashiwara, M., Kawai, T.: Micro-local properties of\(\Pi _{j = 1}^n f_{j + e}^{s_j } \). Proc. Japan Acad.51, 270–272 (1975)Google Scholar
  7. 7.
    Hironaka, H.: Resolution of singularities of an algebraic variety over a field of characteristic zero, I. II. Ann. of Math.79, 109–326 (1964)Google Scholar
  8. 8.
    Malgrange, B.: Le polynome de Bernstein d'une singularité isolée. Lecture notes in Math.459, pp. 98–119, Berlin-Heidelberg-New York: SpringerGoogle Scholar
  9. 9.
    Malgrange, B.: Sur les polynomes de I. N. Bernstein, Uspekhi Mat. Nauk29 (4), 81–88 (1974)Google Scholar
  10. 10.
    Sato, M.: Theory of prehomogeneous vector spaces. Sugaku no Ayumi 15–1 (1970) (noted by T. Shintani)Google Scholar
  11. 11.
    Sato, M., Kawai, T., Kashiwara, M.: Microfunctions and Pseudo-differential Equations, Proc. Katata Conf. Lecture Notes in Math.287, pp. 263–529. Berlin-Heidelberg-New York: Springer 1973Google Scholar
  12. 12.
    Sato, M., Shintani, T.: On zeta functions associated with prehomogeneous vector space. Annals of Math.100, 131–170 (1974)Google Scholar
  13. 13.
    Proceeding of Symposium ‘Singularity of hypersurfaces andb-functions’, Surikaisekikenkyushokokyuroku 225 (1975)Google Scholar
  14. 14.
    Yano, T.: The theory ofb-functions. Mater's thèse presented to Kyoto University (1975) (here we find many interesting examples ofb-functions)Google Scholar

Copyright information

© Springer-Verlag 1976

Authors and Affiliations

  • Masaki Kashiwara
    • 1
  1. 1.CambridgeUSA

Personalised recommendations