Mathematische Annalen

, Volume 278, Issue 1–4, pp 1–28 | Cite as

Nearly holomorphic functions on hermitian symmetric spaces

  • Goro Shimura
Article

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. 1.
    Feit, P.: Ples and residues of Eisenstein series for symplectic and unitary groups. Mern. ofrrr Am. Math. Soc. Vol. 61, No. 346, 1986Google Scholar
  2. 2.
    Kähler, E.: Über eine bemerkenswerte Hermitesche Metrik. Abh. Math. Semin. Univ. Hamb.9, 173–186 (1933)Google Scholar
  3. 3.
    Matsushima, Y., Shimura, G.: On the cohomology groups attached to certain vector valued differential forms on the product of the upper half planes. Ann. Math.78, 417–449 (1963)Google Scholar
  4. 4.
    Shimura, G.: On some arithmetic properties of modular forms of one and several variables. Ann Math.102, 491–515 (1975)Google Scholar
  5. 5.
    Shimura, G.: Theta functions with complex multiplication. Duke Math. J.43, 673–696 (1976)Google Scholar
  6. 6.
    Shimura, G.: On the derivatives of theta functions and modular forms. Duke Math. J.44, 365–387 (1977)Google Scholar
  7. 7.
    Shimura, G.: The special values of the zeta functions associated with Hilbert modular forms. Duke Math. J.45, 637–679 (1978)Google Scholar
  8. 8.
    Shimura, G.: The arithmetic of certain zeta functions and automorphic forms on orthogonal groups. Ann. Math.111, 313–375 (1980)Google Scholar
  9. 9.
    Shimura, G.: On certain zeta functions attached to two Hilbert modular forms. I. II. Ann. Math.114, 127–164, 569–607 (1981)Google Scholar
  10. 10.
    Shimura, G.: Arithmetic of differential operators on symmetric domains. Duke Math. J.48, 813–843 (1981)Google Scholar
  11. 11.
    Shimura, G.: On Eisenstein series. Duke Math. J.50, 417–476 (1983)Google Scholar
  12. 12.
    Shimura, G.: Differential operators and the singular values of Eisenstein series. Duke Math. J.51, 261–329 (1984)Google Scholar
  13. 13.
    Shimura, G.: On differential operators attached to certain representations of classical groups. Invent. Math.77, 463–488 (1984)Google Scholar
  14. 14.
    Shimura, G.: On Eisenstein series of half-integral weight. Duke Math. J.52, 281–314 (1985)Google Scholar
  15. 15.
    Shimura, G.: On the Eisenstein series of Hilbert modular groups. Rev. Mat. Ibero-Am.1, No 3, 1–42 (1985)Google Scholar
  16. 16.
    Shimura, G.: On a class of nearly holomorphic automorphic forms. Ann. Math.123, 347–406 (1986)Google Scholar
  17. 17.
    Weil, A.: Introduction à l'étude des variétés kählériennes. Act. Sci. et Ind. 1267. Paris: Hermann 1958Google Scholar

Copyright information

© Springer-Verlag 1987

Authors and Affiliations

  • Goro Shimura
    • 1
  1. 1.Department of MathematicsPrinceton UniversityPrincetonUSA

Personalised recommendations