Bases of exponentials in weighted spaces generated by zeros of the Fourier-Stieltjes transformстатья
Информация о цитировании статьи получена из
Web of Science,
Scopus
Статья опубликована в журнале из списка Web of Science и/или Scopus
Дата последнего поиска статьи во внешних источниках: 28 сентября 2017 г.
Аннотация: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, Fourier-Stieltjes transform, Riesz basis, Riesz property, Banach space