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Periodic orthonormal spline systems with arbitrary knots as bases in \(H^1(\mathbb{T}) \) - MaRDI portal

Periodic orthonormal spline systems with arbitrary knots as bases in \(H^1(\mathbb{T}) \) (Q6060248)

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scientific article; zbMATH DE number 7760673
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Periodic orthonormal spline systems with arbitrary knots as bases in \(H^1(\mathbb{T}) \)
scientific article; zbMATH DE number 7760673

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    Periodic orthonormal spline systems with arbitrary knots as bases in \(H^1(\mathbb{T}) \) (English)
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    3 November 2023
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    The main result of this paper is to give a characterization of those knot sequences for which the corresponding periodic orthonormal spline system of fixed order of smoothness is a basis in the atomic Hardy space on the torus.
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    orthonormal spline system
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    periodic spline system
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    basis
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    \(H^1\)
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