We introduce a lifting from a given Jacobi form of index 1 to an automorphic form on an expanded domain of type F , introduced by Saito [20, 22]. The method is a generalization of Gritsenko [10, 11] for symmetric domain of type IV. We constract a lifting function satisfying a certain translation formula on the expanded domain.
Cite this article
Hiroki Aoki, Automorphic Forms on the Expanded Symmetric Domain of Type IV. Publ. Res. Inst. Math. Sci. 35 (1999), no. 2, pp. 263–283DOI 10.2977/PRIMS/1195143952