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- W3031520050 abstract "In this paper we will extend to non-abelian groups inverse spectral results, proved by us in an earlier paper (Guillemin and Wang, 2016), for compact abelian groups, i.e. tori. More precisely, Let G be a compact Lie group acting isometrically on a compact Riemannian manifold X. We will show that for the Schrödinger operator −ħ2Δ+V with V∈C∞(X)G, the potential function V is, in some interesting examples, determined by the G-equivariant spectrum. The key ingredient in this proof is a generalized Legendrian relation between the Lagrangian manifolds Graph(dV) and Graph(dF), where F is a spectral invariant defined on an open subset of the positive Weyl chamber." @default.
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- W3031520050 date "2021-02-01" @default.
- W3031520050 modified "2023-09-23" @default.
- W3031520050 title "Inverse spectral results for non-abelian group actions" @default.
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- W3031520050 doi "https://doi.org/10.1016/j.indag.2020.05.004" @default.
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