Convolution operators on spaces of holomorphic functions

• Autorzy: Tobias Lorson , Jürgen Müller
• Języki publikacji: EN

Abstrakty

EN

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.

Kategorie tematyczne

• 47A05: General (adjoints, conjugates, products, inverses, domains, ranges, etc.)
• 34A35: Differential equations of infinite order
• 30B40: Analytic continuation

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Studia Mathematica
• Rocznik: 2015
• Tom: 227
• Numer: 2
• Strony: 111-131

Daty

wydano

2015

Twórcy

autor

Tobias Lorson

• University of Trier, FB IV, Mathematics, D-54286 Trier, Germany

autor

Jürgen Müller

• University of Trier, FB IV, Mathematics, D-54286 Trier, Germany

Identyfikatory

DOI

10.4064/sm227-2-2