This article is cited in 4 papers

On approximation properties of one trigonometric system

B. V. Vinnitskii, V. N. Dilnyi

Chair of Mathematical Analysis, Drohobych State Pedagogical University, 3 Stryiska str., Drohobych, Lviv region, 82100 Ukraine

Abstract: We obtain the criteria of completeness and minimality of a system. We also obtain an analog of the Paley–Wiener theorem related to this system.

Keywords: Paley–Wiener theorem, complete system, minimal system.

UDC: 517.5

Received: 14.04.2013

 English version: Russian Mathematics (Izvestiya VUZ. Matematika), 2014, 58:11, 10–21

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