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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Publication:2281457
DOI10.3103/S1066369X19060069zbMath1437.42041MaRDI QIDQ2281457
Publication date: 19 December 2019
Published in: Russian Mathematics (Search for Journal in Brave)
digital information processingdigital information transferFourier-type series with integer coefficientsfunctional systems of contractions and shifts of single function
Function spaces arising in harmonic analysis (42B35) Fourier series in special orthogonal functions (Legendre polynomials, Walsh functions, etc.) (42C10)
Cites Work
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- Absolute convergence of double series of Fourier-Haar coefficients for functions of bounded \(p\)-variation
- Representation in \(L_ p\) by series of translates and dilates of one function
- On the convergence of orthorecursive expansions in nonorthogonal wavelets
- Orthorecursive expansions in Hilbert spaces
- 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$
- Representation systems obtained using translates and dilates of a single function in multidimensional spaces $ E_{\varphi}$
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