Abstract
The system of exponentials generated by zeros of the Fourier-Stieltjes transform of a finite function with discontinuities at the ends of the support interval [−a, a] is considered in the Lebesgue space on the interval (−a, a) with weight in the form of a finite product of polynomial functions. A sufficient condition, which is unimprovable in a sense, is obtained for the basis property of such a system.
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