Differential structure on the dual of a compact lie group
  In this paper we define difference operators and homogeneous Sobolev-type spaces on the dual of a compact Lie group. As an application and to show that this defines a relevant differential structure, we state and prove multiplier theorems of H\"ormander, Mihlin and Marcinkiewicz types together with the sharpness in the Sobolev exponent for the one of H\"ormander type. 
Veronique Fischer
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