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JOURNALS // Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika // Archive
Izv. Vyssh. Uchebn. Zaved. Mat., 2009 Number 11, Pages 3–11 (Mi ivm4250)
Absolute convergence of Fourier series of superpositions of functions

G. A. Akishev

Chair of Mathematical Analysis, Karaganda State University, Karaganda, Republic of Kazakhstan

Abstract: In this paper we establish conditions for the absolute convergence of series of Fourier coefficients with respect to a generalized Haar system of a superposition of two functions.

Keywords: Fourier coefficients, Haar system, superposition.

UDC: 517.518

Received: 20.06.2007
Revised: 04.11.2007


 English version: Russian Mathematics (Izvestiya VUZ. Matematika), 2009, 53:11, 1–8

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© Steklov Math. Inst. of RAS, 2024