On almost-everywhere convergence of inverse spherical transforms

Christopher Meaney and Elena Prestini

Vol. 170 (1995), No. 1, 203–215

DOI: 10.2140/pjm.1995.170.203

Abstract

Suppose that G∕K is a rank one noncompact connected Riemannian symmetric space. We show that if f is a bi-K-invariant square integrable function on G, then its inverse spherical transform converges almost everywhere.

Mathematical Subject Classification 2000

Primary: 43A85

Milestones

Received: 1 December 1992

Revised: 9 August 1993

Published: 1 September 1995