On the Restriction Map for Jacobi Forms

B. Ramakrishnan; Karam Deo Shankhadhar

doi:10.1007/s12188-013-0081-3

paper

On the Restriction Map for Jacobi Forms

arXiv:1301.0903 · doi:10.1007/s12188-013-0081-3

Abstract

In this article we give the description of the kernel of the restriction map for Jacobi forms of index 2 and obtain the injectivity of $D_{0} \oplus D_{2}$ on the space of Jacobi forms of weight 2 and index 2. We also obtain certain generalization of these results on certain subspace of Jacobi forms of square-free index $m$ .

arXiv comment13 pages. Abh. Math. Semin. Univ. Hambg. (2013)