Generalization of Berg-Dimovski convolution in spaces of analytic functions |
| |
Authors: | T I Zvozdetskii S S Linchuk |
| |
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 ?(G) and obtain the representation of the coefficient multipliers of expansions of analytic functions in the system of Mittag-Leffler functions. |
| |
Keywords: | |
本文献已被 SpringerLink 等数据库收录! |