This article is cited in 6 papers

Representation systems obtained using translates and dilates of a single function in multidimensional spaces $E_{\varphi}$

V. I. Filippov

Saratov State Socio-Economic University

Abstract: We consider function systems obtained using translates and dilates of a single function in multidimensional spaces $E_{\varphi}$.

Keywords: generalized Orlicz classes, generalized Orlicz spaces, representation systems, approximation in spaces $E_{\varphi}$, function systems of translates and dilates of a single function.

UDC: 517.51

MSC: Primary 42C40; Secondary 41A65

Received: 25.02.2011
Revised: 14.08.2011

DOI: 10.4213/im7300

 English version: Izvestiya: Mathematics, 2012, 76:6, 1257–1270

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