Convolution operators on spaces of holomorphic functions
Volume 227 / 2015
Studia Mathematica 227 (2015), 111-131
MSC: Primary 47A05; Secondary 30B40, 34A35.
DOI: 10.4064/sm227-2-2
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.
