Invariant measures for unitary groups associated to Kac-Moody Lie algebras / Doug Pickrell.
The main purpose of this paper is to prove the existence, and in some cases the uniqueness, of unitarily invariant measures on formal completions of groups associated to affine Kac-Moody algebras, and associated homogeneous spaces. The basic invariant measure is a natural generalization of Haar meas...
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