ON HULL-MINIMAL IDEALS IN THE SCHWARTZ ALGEBRAS OF SPHERICAL FUNCTIONS ON A SEMI-SIMPLE LIE GROUP

摘要

The hull-minimal ideals are discussed for the Harish-Chandra Schwartz algebra of a connected semi-simple Lie group G. In particular, we construct the basis elements for these ideals, and, when restricted to the Schwartz algebra of τ-spherical functions on G, we characterize the hull-minimal ideals in terms of the cusp forms.