Composition operators on reproducing kernel Hilbert spaces with analytic positive definite functions

In this paper, we specifyIn this paper, we specify what functions induce the bounded composition operators on a reproducing kernel Hilbert space (RKHS) associated with an analytic positive definite function defined on \mathbb{R}^d. We prove that only affine transforms can do so in a pretty large class of RKHS. Our... Show more