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General periodic Franklin system as a basis in \(H^1[0,1]\)

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Publication:297324
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zbMath1339.42030MaRDI QIDQ297324

K. A. Keryan, M. P. Poghosyan

Publication date: 24 June 2016

Published in: Journal of Contemporary Mathematical Analysis. Armenian Academy of Sciences (Search for Journal in Brave)



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) Summability and bases; functional analytic aspects of frames in Banach and Hilbert spaces (46B15) Completeness of sets of functions in nontrigonometric harmonic analysis (42C30)


Related Items (4)

On a system of piecewise linear functions with vanishing integrals on \(R\) ⋮ Periodic orthonormal spline systems with arbitrary knots as bases in \(H^1(\mathbb{T}) \) ⋮ On a generalization of general Franklin system on \(R\) ⋮ On unconditional basis property in the space \(H^1(\mathbb R)\) of a system of Franklin functions with vanishing means







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