Unconditional Bases of Systems of Bessel Functions

Bohdan Vynnyts’kyi; Ruslan Khats’; Iryna Sheparovych

doi:10.32523/2077-9879-2020-11-4-76-86

Unconditional Bases of Systems of Bessel Functions

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Authors

Bohdan Vynnyts’kyi
Ruslan Khats’
Iryna Sheparovych

DOI:

https://doi.org/10.32523/2077-9879-2020-11-4-76-86

Keywords:

interpolation problem, complete interpolating sequence, unconditional basis, Bessel function, entire function of exponential type

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.

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Published

2020-12-30

How to Cite

Vynnyts’kyi, B., Khats’, R., & Sheparovych, I. (2020). Unconditional Bases of Systems of Bessel Functions. Eurasian Mathematical Journal, 11(4), 76–86. https://doi.org/10.32523/2077-9879-2020-11-4-76-86