A Shubin pseudodifferential calculus on asymptotically conic manifolds
arXiv:2408.08169 · doi:10.1007/s00041-025-10178-3
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.
This preprint has not undergone peer review or any post-submission improvements or corrections. The Version of Record of this article is published in Journal of Fourier Analysis and Applications, and is available online at https://doi.org/10.1007/s00041-025-10178-3