@article{CM_1983__50_1_3_0,
author = {Kudla, Stephen S.},
title = {Periods of integrals for $SU(n, 1)$},
journal = {Compositio Mathematica},
volume = {50},
year = {1983},
pages = {3-63},
mrnumber = {719066},
zbl = {0529.10030},
language = {en},
url = {http://dml.mathdoc.fr/item/CM_1983__50_1_3_0}
}
Kudla, Stephen S. Periods of integrals for $SU(n, 1)$. Compositio Mathematica, Tome 50 (1983) pp. 3-63. http://gdmltest.u-ga.fr/item/CM_1983__50_1_3_0/
[1] : Theta functions and holomorphic differential forms on compact quotients of bounded symmetric domains. Thesis, Princeton University 1980. | Zbl 0557.32006
[2] and : Behavior of theta series of degree n under modular substitutions. Math. USSR Izvestija 39 (1975) 227-241. | Zbl 0326.10025
[3] , , and : Smooth Compactifications of locally symmetric varities. Math. Sci. Press. Brookline, Mass. 1975. | MR 457437 | Zbl 0334.14007
[4] : Examples of dual reductive pairs. Proc. Symp. Pure Math. 33 part 1 (1979) 287-296. | MR 546603 | Zbl 0425.22024
[5] : Zur theorie der elliptischen modulfunktionen. Math. Annalen 97 (1926) 210-242. | JFM 52.0377.04
[6] : Bestimmung der perioden gewisser integrale durch die theorie der Klassenkörpern. Math. Zeit. 28 (1928) 708-727. | JFM 54.0405.01 | MR 1544986
[7] and : Some examples of automorphic forms on Sp 4. To appear. | MR 700131 | Zbl 0529.22012
[8] : Invariant theory and duality for classical groups over finite fields. Preprint.
[9] : θ-series and invariant theory. Proc. Symp. Pure Math. 33 part 1 (1976) 275-285. | Zbl 0423.22016
[10] and : Geodesic cycles and the Weil representation I; Quotients of hyperbolic space and Siegel modular forms. Comp. Math. 45 (1982) 207-271. | Numdam | MR 651982 | Zbl 0495.10016
[11] : Holomorphic Siegel modular forms associated to SO(n, 1). Math. Annalen 256 (1981) 517-534. | MR 628232 | Zbl 0465.10020
[12] : On the integrals of certain singular theta functions. J. Fac. Sci. Univ. Tokyo. Sec. IA, 28 (1982) 439-463. | MR 656030 | Zbl 0511.10019
[13] : Holomorphic imbeddings of symmetric domains into a Siegel space. Amer. J. Math. 87 (1965) 425-461. | MR 196134 | Zbl 0144.08202
[14] : On canonical models of arithmetic quotients of bounded symmetric domains. Ann. Math. 91 (1970) 144-222. | MR 257031 | Zbl 0237.14009
[15] : On the Fourier coefficients of modular forms of several variables. Göttingen, Nachr. Akad, Wiss. (1975) 261-268. | MR 485706 | Zbl 0332.32024
[16] : Theta functions with complex multiplication. Duke Math. J. 43 (1976) 673-696. | MR 424705 | Zbl 0371.14022
[17] : The arithmetic of automorphic forms with respect to a unitary group. Ann. Math. 107 (1978) 569-605. | MR 563087 | Zbl 0409.10016
[18] : L2-automorphic forms and cohomology classes on arithmetic quotients of SU(p, q). Preprint. | Zbl 0533.10025