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Nearly holomorphic functions on hermitian symmetric spaces

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References

  1. Feit, P.: Ples and residues of Eisenstein series for symplectic and unitary groups. Mern. ofrrr Am. Math. Soc. Vol. 61, No. 346, 1986

  2. Kähler, E.: Über eine bemerkenswerte Hermitesche Metrik. Abh. Math. Semin. Univ. Hamb.9, 173–186 (1933)

    Google Scholar 

  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. Shimura, G.: On some arithmetic properties of modular forms of one and several variables. Ann Math.102, 491–515 (1975)

    Google Scholar 

  5. Shimura, G.: Theta functions with complex multiplication. Duke Math. J.43, 673–696 (1976)

    Google Scholar 

  6. Shimura, G.: On the derivatives of theta functions and modular forms. Duke Math. J.44, 365–387 (1977)

    Google Scholar 

  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. Shimura, G.: The arithmetic of certain zeta functions and automorphic forms on orthogonal groups. Ann. Math.111, 313–375 (1980)

    Google Scholar 

  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. Shimura, G.: Arithmetic of differential operators on symmetric domains. Duke Math. J.48, 813–843 (1981)

    Google Scholar 

  11. Shimura, G.: On Eisenstein series. Duke Math. J.50, 417–476 (1983)

    Google Scholar 

  12. Shimura, G.: Differential operators and the singular values of Eisenstein series. Duke Math. J.51, 261–329 (1984)

    Google Scholar 

  13. Shimura, G.: On differential operators attached to certain representations of classical groups. Invent. Math.77, 463–488 (1984)

    Google Scholar 

  14. Shimura, G.: On Eisenstein series of half-integral weight. Duke Math. J.52, 281–314 (1985)

    Google Scholar 

  15. Shimura, G.: On the Eisenstein series of Hilbert modular groups. Rev. Mat. Ibero-Am.1, No 3, 1–42 (1985)

    Google Scholar 

  16. Shimura, G.: On a class of nearly holomorphic automorphic forms. Ann. Math.123, 347–406 (1986)

    Google Scholar 

  17. Weil, A.: Introduction à l'étude des variétés kählériennes. Act. Sci. et Ind. 1267. Paris: Hermann 1958

    Google Scholar 

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To Friedrich Hirzebruch

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Shimura, G. Nearly holomorphic functions on hermitian symmetric spaces. Math. Ann. 278, 1–28 (1987). https://doi.org/10.1007/BF01458058

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