Unconditional Bases of Systems of Bessel Functions

Bohdan Vynnyts’kyi; Ruslan Khats’; Iryna Sheparovych

Unconditional Bases of Systems of Bessel Functions

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Authors

Bohdan Vynnyts’kyi
Ruslan Khats’
Iryna Sheparovych

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

2024-06-02

How to Cite

Vynnyts’kyi, B., Khats’, R., & Sheparovych, I. (2024). Unconditional Bases of Systems of Bessel Functions. Eurasian Mathematical Journal, 11(4). Retrieved from https://emj.enu.kz/index.php/main/article/view/198