Weak Paley–Wiener property for completely solvable Lie groups

Gayatri Garimella

Vol. 187 (1999), No. 1, 51–63

DOI: 10.2140/pjm.1999.187.51

Abstract

We prove a weak Paley–Wiener property for completely solvable Lie groups, i.e. if the group Fourier transform of a measurable, bounded and compactly supported function vanishes on a set of positive Plancherel measure then the function itself vanishes almost everywhere on the group.

Milestones

Received: 21 July 1997

Revised: 22 October 1997

Published: 1 January 1999