This article is cited in 18 papers

The basis properties of power systems in $L_p$

B. T. Bilalov

Institute of Mathematics and Mechanics, Azerbaijan National Academy of Sciences

Abstract: We consider power systems with complex-valued coeficients. We establish a necessary and suficient condition for completeness and minimality and also a necessary condition for the basis property of these systems in Lebesgue spaces.

Keywords: power system, basis property, completeness, minimality.

UDC: 517.5

Received: 01.07.2004

 English version: Siberian Mathematical Journal, 2006, 47:1, 18–27

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