Abstract:
It is proved that systems of exponentials orthogonal to measures of a special kind form bases in $L^p(-\pi,\pi)$, $1<p<\infty$, for which an analog of the Riesz theorem on the projection from $L^p$ onto $H^p$ is valid.
Citation:
A. M. Sedletskii, “Bases of Exponentials in the Spaces $L^p(-\pi,\pi)$”, Mat. Zametki, 72:3 (2002), 418–432; Math. Notes, 72:3 (2002), 383–397