Differential operators, holomorphic projection, and singular forms
Goro Shimura
Source: Duke Math. J. Volume 76, Number 1
(1994), 141-173.
First Page:
Show
Hide
Full-text: Access denied (no subscription
detected)
We're sorry, but we are unable to provide
you with the full text of this article because we are not able to identify
you as a subscriber.
If you have a personal subscription to
this journal, then please login. If you are already logged in, then you
may need to update your profile to register your subscription. Read more about accessing full-text
Links and Identifiers
Permanent link to this document: http://projecteuclid.org/euclid.dmj/1077286742
Mathematical Reviews number (MathSciNet): MR1301189
Zentralblatt MATH identifier: 0829.11029
Digital Object Identifier: doi:10.1215/S0012-7094-94-07606-0
References
[B] A. Borel, Density properties for certain subgroups of semi-simple groups without compact components, Ann. of Math. (2) 72 (1960), 179–188.
Mathematical Reviews (MathSciNet): MR23:A964
Zentralblatt MATH: 0094.24901
Digital Object Identifier: doi:10.2307/1970150
JSTOR: links.jstor.org
[F1] E. Freitag, Holomorphe Differentialformen zu Kongruenzgruppen der Siegelschen Modulgruppe, Invent. Math. 30 (1975), no. 2, 181–196.
Mathematical Reviews (MathSciNet): MR56:8927
Zentralblatt MATH: 0314.32017
Digital Object Identifier: doi:10.1007/BF01425508
[F2] E. Freitag, The classification of singular weights, preprint, 1990.
[H] R. Howe, Automorphic forms of low rank, Noncommutative harmonic analysis and Lie groups (Marseille, 1980), Lecture Notes in Math., vol. 880, Springer, Berlin, 1981, pp. 211–248.
Mathematical Reviews (MathSciNet): MR83j:10033
Zentralblatt MATH: 0463.10015
[M] H. Maass, Siegel's Modular Forms and Dirichlet Series, Lecture Notes in Math., vol. 216, Springer-Verlag, Berlin, 1971.
Mathematical Reviews (MathSciNet): MR49:8938
Zentralblatt MATH: 0224.10028
[R1] H. L. Resnikoff, On a class of linear differential equations for automorphic forms in several complex variables, Amer. J. Math. 95 (1973), 321–332.
Mathematical Reviews (MathSciNet): MR49:3233
Zentralblatt MATH: 0276.32023
Digital Object Identifier: doi:10.2307/2373788
JSTOR: links.jstor.org
[R2] H. L. Resnikoff, Automorphic forms of singular weight are singular forms, Math. Ann. 215 (1975), 173–193.
Mathematical Reviews (MathSciNet): MR52:3065
Zentralblatt MATH: 0304.32019
Digital Object Identifier: doi:10.1007/BF01432694
[S1] G. Shimura, The arithmetic of certain zeta functions and automorphic forms on orthogonal groups, Ann. of Math. (2) 111 (1980), no. 2, 313–375.
Mathematical Reviews (MathSciNet): MR81g:10041
Zentralblatt MATH: 0438.12003
Digital Object Identifier: doi:10.2307/1971202
JSTOR: links.jstor.org
[S2] G. Shimura, Arithmetic of differential operators on symmetric domains, Duke Math. J. 48 (1981), no. 4, 813–843.
Mathematical Reviews (MathSciNet): MR86m:11032
Zentralblatt MATH: 0487.10021
Digital Object Identifier: doi:10.1215/S0012-7094-81-04845-6
Project Euclid: euclid.dmj/1077314933
[S3] G. Shimura, Differential operators and the singular values of Eisenstein series, Duke Math. J. 51 (1984), no. 2, 261–329.
Mathematical Reviews (MathSciNet): MR85h:11031
Zentralblatt MATH: 0546.10025
Digital Object Identifier: doi:10.1215/S0012-7094-84-05115-9
Project Euclid: euclid.dmj/1077303805
[S4] G. Shimura, On differential operators attached to certain representations of classical groups, Invent. Math. 77 (1984), no. 3, 463–488.
Mathematical Reviews (MathSciNet): MR86c:11034
Zentralblatt MATH: 0558.10023
Digital Object Identifier: doi:10.1007/BF01388834
[S5] G. Shimura, On a class of nearly holomorphic automorphic forms, Ann. of Math. (2) 123 (1986), no. 2, 347–406.
Mathematical Reviews (MathSciNet): MR88b:11025a
Zentralblatt MATH: 0593.10022
Digital Object Identifier: doi:10.2307/1971276
[S6] G. Shimura, On Hilbert modular forms of half-integral weight, Duke Math. J. 55 (1987), no. 4, 765–838.
Mathematical Reviews (MathSciNet): MR89a:11054
Zentralblatt MATH: 0636.10024
Digital Object Identifier: doi:10.1215/S0012-7094-87-05538-4
Project Euclid: euclid.dmj/1077306298
[S7] G. Shimura, Nearly holomorphic functions on Hermitian symmetric spaces, Math. Ann. 278 (1987), no. 1-4, 1–28.
Mathematical Reviews (MathSciNet): MR89b:32044
Zentralblatt MATH: 0636.10023
Digital Object Identifier: doi:10.1007/BF01458058
[S8] G. Shimura, On the critical values of certain Dirichlet series and the periods of automorphic forms, Invent. Math. 93 (1988), 1–61.
Zentralblatt MATH: 0656.10018
Mathematical Reviews (MathSciNet): MR958833
Digital Object Identifier: doi:10.1007/BF01394326
[S9] G. Shimura, Invariant differential operators on Hermitian symmetric spaces, Ann. of Math. (2) 132 (1990), no. 2, 237–272.
Mathematical Reviews (MathSciNet): MR91i:22015
Zentralblatt MATH: 0718.11020
Digital Object Identifier: doi:10.2307/1971523
JSTOR: links.jstor.org
Duke Mathematical Journal
