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The scattering matrix for the p-form Laplacian on asymptotically conic manifolds

Charalambous, Nelia et al.
arXiv (All) · Papers
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analysis-of-pdes
The Hodge decomposition at infinity gives rise to distinct tangential scattering channels for differential forms on asymptotically conic manifolds. We construct co-closed generalized eigenforms for the Hodge Laplacian on $p$-forms in dimension $n\geq 3$ and analyze the resulting Bessel and Hankel sy
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