This article is cited in 1 paper

Completeness of the Trigonometric System for the Classes $\varphi(L)$

Yu. S. Kolomoitsev

Donetsk National University

Abstract: We obtain a necessary and sufficient condition for the completeness of the trigonometric system with gaps for the classes $\varphi(L)$.

Keywords: trigonometric system with gaps, $2\pi$-periodic function, Jensen's inequality, trigonometric polynomial, Parseval's equality, Riesz–Fischer theorem.

UDC: 517.5

Received: 24.01.2006
Revised: 05.10.2006

DOI: 10.4213/mzm3714

 English version: Mathematical Notes, 2007, 81:5, 632–637

Bibliographic databases:

• 
• 
• 
• 
• 
•