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The Basis Properties of Power Systems in L p

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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.

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Authors and Affiliations

  1. Institute of Mathematics and Mechanics, Baku, Azerbaidzhan

    B. T. Bilalov

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  1. B. T. Bilalov
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__________

Translated from Sibirskii Matematicheskii Zhurnal, Vol. 47, No. 1, pp. 25–36, January–February, 2006.

Original Russian Text Copyright © 2006 Bilalov B. T.

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Bilalov, B.T. The Basis Properties of Power Systems in L p . Sib Math J 47, 18–27 (2006). https://doi.org/10.1007/s11202-006-0002-0

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  • DOI: https://doi.org/10.1007/s11202-006-0002-0

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