Abstract:
We find a criterion of unconditional basicity of the system (√xρkJν(xρk):k∈N) in the space L2(0;1) where Jν is the Bessel function of the first kind of index ν⩾−1/2 and (ρk:k∈N) is a sequence of distinct nonzero complex numbers.
Keywords and phrases:
interpolation problem, complete interpolating sequence, unconditional basis, Bessel
function, entire function of exponential type.
Citation:
B. V. Vynnyts'kyi, R. V. Khats', I. B. Sheparovich, “Unconditional bases of systems of Bessel functions”, Eurasian Math. J., 11:4 (2020), 76–86
\Bibitem{VinKhaShe20}
\by B.~V.~Vynnyts'kyi, R.~V.~Khats', I.~B.~Sheparovich
\paper Unconditional bases of systems of Bessel functions
\jour Eurasian Math. J.
\yr 2020
\vol 11
\issue 4
\pages 76--86
\mathnet{http://mi.mathnet.ru/emj384}
\crossref{https://doi.org/10.32523/2077-9879-2020-11-4-76-86}
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Linking options:
https://www.mathnet.ru/eng/emj384
https://www.mathnet.ru/eng/emj/v11/i4/p76
This publication is cited in the following 4 articles:
R. V. Khats', “Completeness of the System of Generalized Eigenfunctions for a Bessel-Type Differential Operator”, J Math Sci, 274:6 (2023), 898
Ruslan Khats', “On the completeness of a system of Bessel functions of index -3/2 in weighted l2-space”, Filomat, 37:19 (2023), 6335
Ruslan KHATS', “Generalized eigenvectors of linear operators and biorthogonal systems”, Constructive Mathematical Analysis, 5:2 (2022), 60
R. Khats, “Completeness conditions of systems of Bessel functions in weighted l-2-spaces in terms of entire functions”, Turk. J. Math., 45:2 (2021), 890–895
Citation in format AMSBIB
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