Unconditionality of periodic orthonormal spline systems in $L^p$
Volume 248 / 2019
Studia Mathematica 248 (2019), 57-91
MSC: 42C10, 46E30.
DOI: 10.4064/sm171011-28-3
Published online: 22 February 2019
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 \lt p \lt \infty $.
