Abstract
For the operator defined by the differential operation
\(0<\nu <1 \), on the interval \((0,1) \), we study the statements of spectral boundary value problems with general boundary conditions at the singular point \(x=0 \) as well as the basis properties of the systems of cylinder functions arising in these problems. We find sufficient conditions on the spectral parameter under which these systems have the Bessel property in \(L_2(0,1) \).
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ACKNOWLEDGMENTS
The author is grateful to L.V. Kritskov for valuable advice when working on the present paper.
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Translated by V. Potapchouck
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Borodinova, D.Y. Bessel Property of Nonorthogonal Systems of Cylinder Functions. Diff Equat 56, 407–414 (2020). https://doi.org/10.1134/S0012266120040011
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DOI: https://doi.org/10.1134/S0012266120040011