Geodesic
Unconditional bases of systems of Bessel functions
Eurasian mathematical journal, Tome 11 (2020) no. 4, pp. 76-86.

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We find a criterion of unconditional basicity of the system $(\sqrt{x\rho_k}J_\nu(x\rho_k): k\in\mathbb{N})$ in the space $L^2(0; 1)$ where $J_\nu$ is the Bessel function of the first kind of index $\nu\geqslant-1/2$ and $(\rho_k: k\in\mathbb{N})$ is a sequence of distinct nonzero complex numbers. 
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B. V. Vynnyts'kyi; R. V. Khats'; I. B. Sheparovich. Unconditional bases of systems of Bessel functions. Eurasian mathematical journal, Tome 11 (2020) no. 4, pp. 76-86. http://geodesic.mathdoc.fr/item/EMJ_2020_11_4_a6/

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