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The Wodzicki Residue for Pseudo-Differential Operators on Compact Lie Groups

The Wodzicki Residue for Pseudo-Differential Operators on Compact Lie Groups

Let G be an arbitrary compact Lie group. In this work we apply the method of the analytic continuation of traces in order to compute the Wodzicki residue for a classical pseudo-differential operator on G in terms of its matrix-valued symbol (which is globally defined on the non-commutative phase space …