A Paley-Wiener theorem on NA harmonic spaces
Volume 80 / 1999
Colloquium Mathematicum 80 (1999), 211-233
DOI: 10.4064/cm-80-2-211-233
Abstract
Let N be an H-type group and consider its one-dimensional solvable extension NA, equipped with a suitable left-invariant Riemannian metric. We prove a Paley-Wiener theorem for nonradial functions on NA supported in a set whose boundary is a horocycle of the form Na, a ∈ A.
