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

Authors

  • V.N. Levchuk Yuriy Kondratyuk Poltava National Technical University

DOI:

https://doi.org/10.15407/dopovidi2017.03.003

Keywords:

basicity, Bernstein class, Bessel equation, Hilbert space, operator, real function, unconditional basis

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.

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References

Gudreev, G. M. & Levchuk, V. N. (2015). Description of unconditional bases formed by values of the Dunkl kernels. Funkts. analiz i ego pril., 49, Iss. 1, pp. 79-82 (in Russian). doi: https://doi.org/10.4213/faa3176;

Funct. Anal. Its Appl., 49, Iss. 1, pp. 64-66. doi: https://doi.org/10.1007/s10688-015-0085-0

Gubreev G.M. (2014). Selected works. Dnipropetrovsk: Serednyak T.K. (in Russian).

Akhieser N.I. (1965). Lectures on the approximation theory. Moscow: Nauka (in Russian).

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Published

22.05.2024

How to Cite

Levchuk, V. (2024). On the unconditional bases of cores generated by differential equations of the second order . Reports of the National Academy of Sciences of Ukraine, (3), 3–7. https://doi.org/10.15407/dopovidi2017.03.003

Issue

No. 3 (2017): Reports of the National Academy of Sciences of Ukraine

Section

Mathematics

License

Copyright (c) 2024 Reports of the National Academy of Sciences of Ukraine

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