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

DOI10.1070/IM2012V076N06ABEH002623zbMath1262.42019OpenAlexW2330061248MaRDI QIDQ4904386

Vadim I. Filippov

Publication date: 29 January 2013

Published in: Izvestiya: Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1070/im2012v076n06abeh002623

zbMATH Keywords

generalized Orlicz spacerepresentation systemabsolute representation system

Mathematics Subject Classification ID

Nontrigonometric harmonic analysis involving wavelets and other special systems (42C40) Abstract approximation theory (approximation in normed linear spaces and other abstract spaces) (41A65)

Related Items (5)

Series with integer coefficients by systems of contractions and shifts of one function ⋮ Multimodular spaces and their properties ⋮ Integer expansion in systems of translates and dilates of a single function ⋮ On generalization of Haar system and other function systems in spaces \(E_\phi\) ⋮ Fourier-type series with integer coefficients in systems of contractions and shifts of a single function in spaces \(L_p\), \(p \geq 1\)

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