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Periods of integrals for SU(n,1). (English) Zbl 0529.10030


MSC:

11F27 Theta series; Weil representation; theta correspondences
22E55 Representations of Lie and linear algebraic groups over global fields and adèle rings

Citations:

Zbl 0423.22016
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References:

[1] G. Anderson : Theta functions and holomorphic differential forms on compact quotients of bounded symmetric domains . Thesis, Princeton University 1980. · Zbl 0557.32006 · doi:10.1215/S0012-7094-83-05049-4
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[9] R. Howe : \theta -series and invariant theory . Proc. Symp. Pure Math. 33 part 1 (1976) 275-285. · Zbl 0423.22016
[10] S. Kudla and J. Millson : Geodesic cycles and the Weil representation I; Quotients of hyperbolic space and Siegel modular forms . Comp. Math. 45 (1982) 207-271. · Zbl 0495.10016
[11] S. Kudla : Holomorphic Siegel modular forms associated to SO(n, 1) . Math. Annalen 256 (1981) 517-534. · Zbl 0465.10020 · doi:10.1007/BF01450546
[12] S. Kudla : On the integrals of certain singular theta functions . J. Fac. Sci. Univ. Tokyo. Sec. IA, 28 (1982) 439-463. · Zbl 0511.10019
[13] I. Satake : Holomorphic imbeddings of symmetric domains into a Siegel space . Amer. J. Math. 87 (1965) 425-461. · Zbl 0144.08202 · doi:10.2307/2373012
[14] G. Shimura : On canonical models of arithmetic quotients of bounded symmetric domains . Ann. Math. 91 (1970) 144-222. · Zbl 0237.14009 · doi:10.2307/1970604
[15] G. Shimura : On the Fourier coefficients of modular forms of several variables . Göttingen, Nachr. Akad, Wiss. (1975) 261-268. · Zbl 0332.32024
[16] G. Shimura : Theta functions with complex multiplication . Duke Math. J. 43 (1976) 673-696. · Zbl 0371.14022 · doi:10.1215/S0012-7094-76-04353-2
[17] G. Shimura : The arithmetic of automorphic forms with respect to a unitary group . Ann. Math. 107 (1978) 569-605. · Zbl 0409.10016 · doi:10.2307/1971129
[18] N. Wallach : L2-automorphic forms and cohomology classes on arithmetic quotients of SU(p, q) . Preprint. · Zbl 0533.10025 · doi:10.1007/BF01475577
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