Dynamics of Weighted Composition Operators on Spaces of Entire Functions of Exponential and Infraexponential Type

Given an affine symbol φ and a multiplier w , we focus on the weighted composition operator C w , φ acting on the spaces Exp and E x p 0 of entire functions of exponential and of infraexponential type, respectively. We characterize the continuity of the operator and, for w the product of a polynomial by an exponential function, we completely characterize power boundedness and (uniform) mean ergodicity. In the case of multiples of composition operators, we also obtain the spectrum and characterize hypercyclicity.