Function systems obtained using translates and dilates of a single function in the paces $ E_\varphi$ with $ \lim_{t\to\infty}\frac{\varphi(t)}t=0$

DOI10.1070/IM2001V065N02ABEH000331zbMath1032.42034OpenAlexW2005280354MaRDI QIDQ4328683

Vadim I. Filippov

Publication date: 4 June 2002

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

Full work available at URL: https://doi.org/10.1070/im2001v065n02abeh000331

zbMATH Keywords

Orlicz spacerepresentation systemHaar systemsgeneralized Fourier expansionsfunction systemsUl'janov's problem

Mathematics Subject Classification ID

Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30) Fourier series in special orthogonal functions (Legendre polynomials, Walsh functions, etc.) (42C10) General harmonic expansions, frames (42C15)

Related Items (3)

Series with integer coefficients by systems of contractions and shifts of one function ⋮ Integer expansion in systems of translates and dilates of a single function ⋮ 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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