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 for these functions on particular rays or sectors. Our research extends known results in several respects.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-sm207-2-1,
author = {Hans-Peter Beise and J\"urgen M\"uller},
title = {Growth of (frequently) hypercyclic functions for differential operators},
journal = {Studia Mathematica},
volume = {204},
year = {2011},
pages = {97-115},
zbl = {1246.30086},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-sm207-2-1}
}
Hans-Peter Beise; Jürgen Müller. Growth of (frequently) hypercyclic functions for differential operators. Studia Mathematica, Tome 204 (2011) pp. 97-115. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-sm207-2-1/