Geodesic
Bases of Exponentials in Weighted Spaces Generated by Zeros of the Fourier--Stieltjes Transform
Matematičeskie zametki, Tome 95 (2014) no. 6, pp. 884-898

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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.
Keywords: system of exponentials, basis property, Riesz basis, Riesz property, Banach space.
Mots-clés : Fourier–Stieltjes transform 
@article{MZM_2014_95_6_a9,
     author = {S. S. Pukhov},
     title = {Bases of {Exponentials} in {Weighted} {Spaces} {Generated} by {Zeros} of the {Fourier--Stieltjes} {Transform}},
     journal = {Matemati\v{c}eskie zametki},
     pages = {884--898},
     publisher = {mathdoc},
     volume = {95},
     number = {6},
     year = {2014},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_2014_95_6_a9/}
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S. S. Pukhov. Bases of Exponentials in Weighted Spaces Generated by Zeros of the Fourier--Stieltjes Transform. Matematičeskie zametki, Tome 95 (2014) no. 6, pp. 884-898. http://geodesic.mathdoc.fr/item/MZM_2014_95_6_a9/