Corpus ID: 207880740

Fredholm conditions for invariant operators: finite abelian groups and boundary value problems

@article{Baldare2019FredholmCF,
  title={Fredholm conditions for invariant operators: finite abelian groups and boundary value problems},
  author={Alexandre Baldare and R. Come and M. Lesch and V. Nistor},
  journal={arXiv: Operator Algebras},
  year={2019}
}
We answer the question of when an invariant pseudodifferential operator is Fredholm on a fixed, given isotypical component. More precisely, let $\Gamma$ be a compact group acting on a smooth, compact, manifold $M$ without boundary and let $P \in \psi^m(M; E_0, E_1)$ be a $\Gamma$-invariant, classical, pseudodifferential operator acting between sections of two $\Gamma$-equivariant vector bundles $E_0$ and $E_1$. Let $\alpha$ be an irreducible representation of the group $\Gamma$. Then $P… Expand
3 Citations

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