References
Borel, A., Wallach, N.: Continuous cohomology, discrete subgroups and representations of reductive groups. Annals Math. Stud. 94. Princeton University Press 1980
Bott, R., Tu, L.W.: Differential forms in algebraic topology. Graduate Texts in Math. 82. Berlin, Heidelberg, New York: Springer 1982
Cogdell, J.: The Weil representation and cycles on Picard modular surfaces. Preprint
Cogdell, J.: Arithmetic cycles on Picard modular surfaces and modular forms of Nebentypus. J. Reine Angew. Math.357, 115–137 (1985)
Flensted-Jensen, M.: Discrete series for semi-simple symmetric spaces. Ann. Math.111, 253–311 (1980)
Harder, G.: General aspects in the theory of modular symbols. Progr. Math.38, 73–88 (1985)
Helgason, S.: Differential geometry and symmetric spaces. Pure and Appl. Math., Vol. 12. New York: Academic Press, 1962
Hirzebruch, F., Zagier, D.: Intersection numbers on curves on Hilbert modular surfaces and modular forms of Nebentypus. Invent. Math.36, 57–113 (1976)
Howe, R.: Θ-series and invariant theory, Part 1. Proc. Symp. Pure Math.33, 275–285 (1979)
Howe, R., Piatetski-Shapiro, I.I.: Some examples of automorphic forms on Sp4. Duke Math. J.50, 55–106 (1983)
Kudla, S.: Seesaw dual reductive pairs. In: Progress in Math. 2. Automorphic forms of several variables. Taniguchi Symposium, Katata, 1983. Basel, Boston, Stuttgart: Birkhäuser 1984
Kudla, S., Millson, J.: Geodesic cycles and the Weil representation. I. Quotients of hyperbolic space and Siegel modular forms. Compos. Math.45, 207–271 (1982)
Kudla, S., Millson, J.: Tubes, cohomology with growth conditions and an application to the theta correspondence, Canadian J. (to appear)
Kudla, S., Millson, J.: The theta correspondence and harmonic forms. I. Math. Ann.274, 353–378 (1986)
Kudla, S., Millson, J.: Seesaw dual pairs and cohomology of the Schwartz space (in preparation)
Lebedev, N.N.: Special functions and their applications. New York: Dover 1972
Millson, J.: Cycles and harmonic forms on locally symmetric spaces. Cand. Math. Bull.28, 268–291 (1985)
Oda, T.: On modular forms associated with indefinite quadratic forms of signature (2,n−2). Math. Ann.231, 97–144 (1977)
Shintani, T.: On construction of holomorphic cusp forms of half integral weight. Nagoya Math. J.58, 83–126 (1975)
Tong, Y.L., Wang, S.P.: Harmonic forms dual to geodesic cycles in quotients ofSU(p, 1). Math. Ann.258, 298–318 (1982)
Tong, Y.L., Wang, S.P.: Theta functions defined by geodesic cycles in quotients ofSU(p, 1). Invent. Math.71, 467–499 (1983)
Tong, Y.L., Wang, S.P.: Correspondence of Hermitian modular forms to cycles associated toSU(p, 2). J. Differ. Geom.18, 163–207 (1983)
Tong, Y.L., Wang, S.P.: Period integrals in non-compact quotients ofSU(p, 1). Duke Math. J.52, 649–688 (1985)
Wang, S.P.: Correspondence of modular forms to cycles associated toO(p, q). J. Differ. Geom.22, 151–123 (1985)
Wang, S.P.: Correspondence of modular forms to cycles associated toSp(p, q). Preprint
Weil, A.: Sur certaines groupes d'operateurs unitaires. Acta. Math.111, 143–211 (1964)
Rallis, S.: L-functions and the Oscillator Representation. Lecture Notes in Mathematics. Berlin, Heidelberg, New York: Springer (to appear)
Author information
Authors and Affiliations
Additional information
partially supported by NSF Grant No. MCS-8201660
Partially supported by NSF Grant No. NSF-8200639
Rights and permissions
About this article
Cite this article
Kudla, S.S., Millson, J.J. The theta correspondence and harmonic forms. II. Math. Ann. 277, 267–314 (1987). https://doi.org/10.1007/BF01457364
Received:
Revised:
Issue Date:
DOI: https://doi.org/10.1007/BF01457364