On the unconditional bases of cores generated by differential equations of the second order

TitleOn the unconditional bases of cores generated by differential equations of the second order
Publication TypeJournal Article
Year of Publication2017
AuthorsLevchuk, VN
Abbreviated Key TitleDopov. Nac. akad. nauk Ukr.
DOI10.15407/dopovidi2017.03.003
Issue3
SectionMathematics
Pagination3-7
Date Published3/2017
LanguageRussian
Abstract

We obtain the necessary and sufficient conditions of unconditional basicity of functions that are solutions of second-order equations (Bessel-type), and the spectral parameter belongs to a discrete set coinciding with the zeros of an entire function of the exponential type.
Keywordsbasicity, Bernstein class, Bessel equation, Hilbert space, operator, real function, unconditional basis
References: 
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