This is an announcement for the paper “Unconditionality of Periodic Orthonormal Spline Systems in $L^p$” by P.M. Bernáhttps://arxiv.org/find/math/1/au:+Berna_P/0/1/0/all/0/1K. Keryanhttps://arxiv.org/find/math/1/au:+Keryan_K/0/1/0/all/0/1, M. Passenbrunnerhttps://arxiv.org/find/math/1/au:+Passenbrunner_M/0/1/0/all/0/1.

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 $1<p<\infty$.

The paper may be downloaded from the archive by web browser from URL https://arxiv.org/abs/1708.09294