The $\mathfrak {v}$-radial Paley–Wiener theorem for the Helgason Fourier transform on Damek–Ricci spaces
Volume 144 / 2016
Colloquium Mathematicum 144 (2016), 87-113
MSC: Primary 22E25, 43A80; Secondary 43A85, 53C30.
DOI: 10.4064/cm6647-11-2015
Published online: 25 February 2016
Abstract
We prove the Paley–Wiener theorem for the Helgason Fourier transform of smooth compactly supported $\mathfrak {v}$-radial functions on a Damek–Ricci space $S=NA$.
