... integrals on X (cf. [2], [3]).These are (normalized) generalizations of the elementary spherical functions for Riemannian symmetric spaces, as well as of Harish-Chandra’s Eisensteinintegrals associated ... NetherlandsE-mail address: ban@math.uu.nlMatematisk Institut, Københavns Universitet, København Ø, DenmarkE-mail address: schlichtkrull@math.ku.dkReferences[1]J. Arthur, A Paley-Wiener ... on a ∗q(P, ε) for all x ∈ X.3. The Paley-Wiener space. Main theoremWe define the Paley-Wiener space PW(X : τ ) for the pair (X, τ) and statethe main theorem, that the Fourier transform maps...