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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.
Tobias Lorson, and Jürgen Müller. "Convolution operators on spaces of holomorphic functions." Studia Mathematica 227.2 (2015): 111-131. <http://eudml.org/doc/285452>.
@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 -