On generalization of Haar system and other function systems in spaces \(E_\phi\)
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Publication:1746444
DOI10.3103/S1066369X18010115zbMath1392.42026OpenAlexW2793431800MaRDI QIDQ1746444
Publication date: 25 April 2018
Published in: Russian Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.3103/s1066369x18010115
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) Completeness of sets of functions in nontrigonometric harmonic analysis (42C30)
Related Items
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 \(L_p\), \(p \geq 1\)
Cites Work
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- On some classes of linear spaces
- Representation systems obtained using translates and dilates of a single function in multidimensional spaces $ E_{\varphi}$
- REPRESENTATION OF FUNCTIONS BY SERIES AND CLASSES ϕ(L)
- On Sets of Completeness for Families of Haar Functions
