Frequent Hypercyclic Behavior of Some Nonconvolution Operators on $ H(^{N}) $

We answer the question posed in 2017 by Muro, Pinasco, and Savransky. Specifically, we show that some nonconvolution operators defined on the space of entire functions $ H(𝔺^{N}) $ , with $ N>1 $ , are frequently hypercyclic. These operators are of the following type: a differentiation operator composed with an affine endomorphism which acts as a translation in at least one of its variables. We thus complete the study of frequent hypercyclicity initiated by Muro and co-authors.