Complete systems of partial derivatives of entire functions and frequently hypercyclic operators
Abstract
We find some sufficient conditions for a system of partial derivatives of an entire function to be complete in the space H(Cd) of all entire functions of d variables. As an appliation of this result we describe new classes of frequently hypercyclic operators on H(Cd).
0
Turn this paper into a lesson
ArcXiv compiles a structured reading guide from this paper's metadata: plain-English importance, contributions, prerequisite concepts, which sections to read first, flashcards, and a quiz. Grounded in the abstract, never invented.