A Paley – Wiener Theorem for the Inverse Spherical Transform

  • Angela Pasquale, ANGELA PASQUALE
  • Published 2000

Abstract

A Paley-Wiener theorem for the inverse spherical transform is proved for noncompact semisimple Lie groups G which are either of rank one or with a complex structure. Let K be a fixed maximal compact subgroup of G. For each K-biinvariant function f in the Schwartz space on G, consider the function f̃ defined on a fixed Weyl chamber a by f̃(H) := ∆(H) f(expH… (More)

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