A Paley-Wiener theorem for compact symmetric spaces
Henrik Schlichtkrull, Københavns Universitet, Denmark
Abstract
The Fourier coefficients of a smooth K-invariant
function on a compact symmetric space M=U/K are
given by integration of the function against
the spherical functions. For functions with
support in a neighborhood of the origin, we
describe the size of the support by means of the
exponential type of a holomorphic extension of the Fourier
coefficients. The result
has been obtained jointly with Gestur Olafsson.