Multiplicative structures of hypercyclic functions for convolution operators

Autor:	Bernal-González, Luis, Conejero, J. Alberto, Costakis, George, Seoane-Sepúlveda, Juan B.
Rok vydání:	2017
Předmět:	Mathematics - Functional Analysis Mathematics - Complex Variables Mathematics - Group Theory 46E10 47A16 22A05 30E10 30K20
Druh dokumentu:	Working Paper
Popis:	In this note, it is proved the existence of an infinitely generated multiplicative group consisting of entire functions that are, except for the constant function 1, hypercyclic with respect to the convolution operator associated to a given entire function of subexponential type. A certain stability under multiplication is also shown for compositional hypercyclicity on complex domains. Comment: 12 pages
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1710.10413 Zobrazit plný text záznamu View this record from Arxiv