Convolution operators on spaces of holomorphic functions

@article{TobiasLorson2015,
abstract = {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.},
author = {Tobias Lorson, Jürgen Müller},
journal = {Studia Mathematica},
keywords = {convolution operators; Euler differential operators; Hadamard multiplication theorem; Köthe-Grothendieck duality},
language = {eng},
number = {2},
pages = {111-131},
title = {Convolution operators on spaces of holomorphic functions},
url = {http://eudml.org/doc/285452},
volume = {227},
year = {2015},
}

TY - JOUR
AU - Tobias Lorson
AU - Jürgen Müller
TI - Convolution operators on spaces of holomorphic functions
JO - Studia Mathematica
PY - 2015
VL - 227
IS - 2
SP - 111
EP - 131
AB - 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.
LA - eng
KW - convolution operators; Euler differential operators; Hadamard multiplication theorem; Köthe-Grothendieck duality
UR - http://eudml.org/doc/285452
ER -