An adelic Hankel summation formula

In this paper, the convergence of the Euler product of the Hecke zeta-function ζ(s,χ) is proved on the line R(s)=1 with s≠1. A certain functional identity between ζ(s,χ) and ζ(2−s,χ) is found. An analogue of Tate's adelic Poisson summation is obtained for the global Hankel transformation, which is constructed in Li (2010) [7].