Basis properties in the spaces $L$ and $C$ of the systems of exponential functions with degeneration
Žurnal matematičeskoj fiziki, analiza, geometrii, Tome 1 (2005) no. 2, pp. 147-154
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Systems of exponential functions with degenerating coefficents are considered. Necessary and sufficient conditions of the completeness and minimality of these systems are obtained in the spaces of summable and continuous functions under definite conditions on the coefficients.
[1] B. T. Bilalov, “The basis properties of some systems of exponential functions, cosines and sines”, Sib. Mat. Zh., 45:2 (2004), 264–273 (Russian) | DOI | MR | Zbl
[2] S. G. Veliev, Basis of exponential functions with degeneration and boundary-value problems, Preprint IMM NASAz, Baku, 2004 (Russian) | MR