A general Simonenko local principle and Fredholm condition for isotypical components
Abstract
In this paper, we derive, from a general Simonenko's local principle, Fredholm criteria for restriction to isotypical components. More precisely, we give a full proof, of the equivariant local principle for restriction to isotypical components of invariant pseudodifferential operators announced in BCLN2. Furthermore, we extend this result by relaxing the hypothesis made in the preceding quoted paper.
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