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Bases of exponentials, sines and cosines in weighted spaces on a finite interval. (English. Russian original) Zbl 1218.30006
Izv. Math. 75, No. 2, 413-443 (2011); translation from Izv. Ross. Akad. Nauk, Ser. Mat. 75, No. 2, 195-224 (2011).

MSC:
30B50 Dirichlet series, exponential series and other series in one complex variable
33B10 Exponential and trigonometric functions
42A05 Trigonometric polynomials, inequalities, extremal problems
42A10 Trigonometric approximation
42A63 Uniqueness of trigonometric expansions, uniqueness of Fourier expansions, Riemann theory, localization
42C30 Completeness of sets of functions in nontrigonometric harmonic analysis
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