This article is cited in 1 paper

Bases of Exponentials in Weighted Spaces Generated by Zeros of the Fourier–Stieltjes Transform

S. S. Pukhov

M. V. Lomonosov Moscow State University

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.

Keywords: system of exponentials, basis property, Fourier–Stieltjes transform, Riesz basis, Riesz property, Banach space.

UDC: 517.982.254

Received: 09.07.2013
Revised: 24.11.2013

DOI: 10.4213/mzm10353

 English version: Mathematical Notes, 2014, 95:6, 820–832

Bibliographic databases:

• 
• 
• 
•