Generalization of Berg-Dimovski convolution in spaces of analytic functions

  • T. I. Zvozdetskii

Abstract

In the space H(G) of functions analytic in a ρ-convex region G equipped with the topology of compact convergence, we construct a convolution for the operator J π+L where J ρ is the generalized Gel’fond-Leont’ev integration operator and L is a linear continuous functional on H(G). This convolution is a generalization of the well-known Berg-Dimovski convolution. We describe the commutant of the operator J π+L in ℋ(G) and obtain the representation of the coefficient multipliers of expansions of analytic functions in the system of Mittag-Leffler functions.
Published
25.07.1996
How to Cite
ZvozdetskiiT. I. “Generalization of Berg-Dimovski Convolution in Spaces of Analytic Functions”. Ukrains’kyi Matematychnyi Zhurnal, Vol. 48, no. 7, July 1996, pp. 910-9, https://umj.imath.kiev.ua/index.php/umj/article/view/5263.
Section
Research articles