This article is cited in 12 papers

On an orthogonal trigonometric basis

Al. A. Privalov


Abstract: An orthogonal trigonometric basis $\{P_k\}_{|k|=1}^\infty$ in the space $C[0,2\pi)$ is constructed whose degrees have growth rate
$$ \deg P_k\leqslant\frac 83|k|. $$


UDC: 517.5

MSC: 42C05, 42C15

Received: 11.09.1989

 English version: Mathematics of the USSR-Sbornik, 1992, 72:2, 363–372

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