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arXiv · 1708.09294

Unconditionality of Periodic Orthonormal Spline Systems in $L^p$

K. Keryan·M. Passenbrunner
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Abstract

Given any natural number $k$ and any dense point sequence $(t_n)$ on the torus $\mathbb T$, we prove that the corresponding periodic orthonormal spline system of order $k$ is an unconditional basis in $L^p$ for $1<p<\infty$.

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K. Keryan, M. Passenbrunner. 2017-08-29. Unconditionality of Periodic Orthonormal Spline Systems in $L^p$. https://arxiv.org/abs/1708.09294

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