This article is cited in 39 papers

The basis properties of some systems of exponential functions, cosines, and sines

B. T. Bilalov

Institute of Mathematics and Mechanics, Azerbaijan National Academy of Sciences

Abstract: We consider some systems of exponential functions, cosines, and sines with complex-valued coefficients and establish a necessary and sufficient condition for completeness and minimality of these systems in Lebesgue spaces.

Keywords: basis property, completeness, minimality.

UDC: 517.5

Received: 01.07.2003

 English version: Siberian Mathematical Journal, 2004, 45:2, 214–221

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