A class of convolution operators on spaces of holomorphic functions related to the Hadamard multiplication theorem for power series and generalizing infinite order Euler differential operators is introduced and investigated. Emphasis is placed on questions concerning injectivity, denseness of range and surjectivity of the operators.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-sm227-2-2,
author = {Tobias Lorson and J\"urgen M\"uller},
title = {Convolution operators on spaces of holomorphic functions},
journal = {Studia Mathematica},
volume = {231},
year = {2015},
pages = {111-131},
zbl = {1339.47045},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-sm227-2-2}
}
Tobias Lorson; Jürgen Müller. Convolution operators on spaces of holomorphic functions. Studia Mathematica, Tome 231 (2015) pp. 111-131. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-sm227-2-2/