This article is cited in 5 papers

Gel'fond–Leont'ev generalized differentiation operators in spaces of type $S$

V. V. Gorodestky, O. V. Martynyuk

Chernivtsi National University, Chernivtsi, Ukraine

Abstract: We study the properties of generalized type $S$ spaces and Gel'fond–Leont'ev generalized differentiation operators of finite or infinite order over the spaces.

Keywords: type $S$ space, generalized differentiation operator, entire function.

UDC: 517.956

Received: 29.05.2012

 English version: Siberian Mathematical Journal, 2013, 54:3, 446–458

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