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A Shubin pseudodifferential calculus on asymptotically conic manifolds

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Krainer,  Thomas
Max Planck Institute for Mathematics, Max Planck Society;

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2408.08169.pdf
(Preprint), 375KB

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Krainer, T. (submitted). A Shubin pseudodifferential calculus on asymptotically conic manifolds.


Cite as: https://hdl.handle.net/21.11116/0000-000F-CD9F-8
Abstract
We present a global pseudodifferential calculus on asymptotically conic manifolds that generalizes (anisotropic versions of) Shubin's classical global pseudodifferential calculus on Euclidean space to this class of noncompact manifolds. Fully elliptic operators are shown to be Fredholm in an associated scale of Sobolev spaces, and to have parametrices in the calculus.