This article is cited in 4 papers

On generalization of Haar system and other function systems in spaces $E_{\varphi}$

V. I. Filippov

Saratov Social-Economic Institute (branch) of Plekhanov Russian University of Economics, 89 Radishcheva str., Saratov, 410003 Russia

Abstract: We consider subsystems of system of Haar type and system of functions more general than the systems of contractions and displacements of one function. We obtain conditions under which these function systems are representation systems in spaces $ E_{\varphi}$ with certain restrictions on $\varphi$.

Keywords: generalized Orlicz spaces and classes, represantation systems, the system of contractions and displacements of one function in spaces $ E_{\varphi}$.

UDC: 517.51

Received: 01.09.2016

 English version: Russian Mathematics (Izvestiya VUZ. Matematika), 2018, 62:1, 76–81

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