Generalization of Berg-Dimovski convolution in spaces of analytic functions

• Date: 1996
• Main Authors: Zvozdetskii, T. I., Звоздецький, Т. І.
• Format: Article
• Language: Ukrainian; English
• Published: Institute of Mathematics, NAS of Ukraine 1996
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/5263
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

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...