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- W2088341570 abstract "We define classes of pseudodifferential operators on G-bundles with compact base and give a generalized L 2 Fredholm theory for invariant operators in these classes in terms of von Neumann’s G-dimension. We combine this formalism with a generalized Paley–Wiener theorem, valid for bundles with unimodular structure groups, to provide solvability criteria for invariant operators. This formalism also gives a basis for a G-index for these operators. We also define and describe a transversal dimension and its corresponding Fredholm theory in terms of anisotropic Sobolev estimates, valid also for similar bundles with nonunimodular structure group." @default.
- W2088341570 created "2016-06-24" @default.
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- W2088341570 date "2012-07-13" @default.
- W2088341570 modified "2023-09-27" @default.
- W2088341570 title "Generalized Fredholm Properties for Invariant Pseudodifferential Operators" @default.
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- W2088341570 doi "https://doi.org/10.1007/s10440-012-9770-7" @default.
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