Periodic orthonormal spline systems with arbitrary knots as bases in \(H^1(\mathbb{T}) \)
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Publication:6060248
DOI10.3103/s106836232301003xzbMath1527.42042OpenAlexW4365790278MaRDI QIDQ6060248
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Publication date: 3 November 2023
Published in: Journal of Contemporary Mathematical Analysis. Armenian Academy of Sciences (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.3103/s106836232301003x
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)
Cites Work
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- A theorem on B-splines
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- Unconditionality of periodic orthonormal spline systems in $L^p$
- The \(L_\infty\)-norm of the \(L_2\)-spline projector is bounded independently of the knot sequence: A proof of de Boor's conjecture
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