%0 Journal Article %T On the Siegel-Weil Theorem for Loop Groups (I) %A Howard Garland %A Yongchang Zhu %J Mathematics %D 2008 %I arXiv %X We proved a new Siegel-Weil formula for orthogonal and symplectic groups, which will be used later to prove a generalization of Siegel-Weil formula for loop groups. %U http://arxiv.org/abs/0812.3236v1