A. R. Mirotin, M. A. Romanova, “On some characterization of Arens-Singer generalized analytic functions”, PFMT, 2011, Issue 2(7),Pages <nobr>65

MATHEMATICS

On some characterization of Arens-Singer generalized analytic functions

A. R. Mirotin^a, M. A. Romanova^b

^a F. Skorina Gomel State University, Gomel
^b Polesskiy State University, Pinsk

Abstract: A new characterization of generalized analytic functions in sense of Arens–Singer is given in the case of maximal semigroups. It is shown that this result can be applied to approximation problems.

Keywords: algebra of generalized analytic functions, semigroup of semicharacters, Shilov boundary, approximation.

UDC: 517.986

Received: 14.02.2011