Growth of (frequently) hypercyclic entire functions for differential operators
H. P. Beise, J. Mueller
TL;DR
This paper studies the growth behavior of frequently hypercyclic entire functions of exponential type under differential operators, providing new insights into their growth conditions on specific rays or sectors.
Contribution
It extends existing results by analyzing the conjugate indicator diagram and growth conditions of hypercyclic functions for differential operators.
Findings
Provides new characterizations of growth conditions on rays and sectors.
Extends known results on hypercyclic entire functions.
Analyzes the conjugate indicator diagram for these functions.
Abstract
We investigate the conjugate indicator diagram or, equivalently, the indicator function of (frequently) hypercyclic functions of exponential type for differential operators. This gives insights into growth conditions of these functions on particular rays or sectors. Our research extends known results in several respects.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.
Taxonomy
TopicsHolomorphic and Operator Theory · Meromorphic and Entire Functions · Mathematical functions and polynomials