$L^p$ spherical multipliers on homogeneous trees
Volume 247 / 2019
Studia Mathematica 247 (2019), 175-190
MSC: Primary 43A90, 20E08, 43A85.
DOI: 10.4064/sm170626-23-2
Published online: 21 November 2018
Abstract
We characterise, for each $p$ in $[1,\infty ) \setminus \{2\}$, the class of $L^p$ spherical multipliers on homogeneous trees in terms of $L^p$ Fourier multipliers on the torus.
