Likewise theta functions of rank $r$ on ${\mathbb{R}}^d$: analytic properties and associated Segal-Bargmann transform

A. Ghanmi, A. Intissar, Z. Mouhcine +1

We introduce and study the Hilbert space of $(L^2,\Gamma ,\chi )$-likewise theta functions on ${\mathbb{R}}^d$ with respect to a given discrete subgroup $\Gamma$ of arbitrary rank and a character $…