渐近圆锥流形上的舒宾伪微分学

arXiv - MATH - Operator Algebras Pub Date : 2024-08-15 DOI:arxiv-2408.08169

Thomas Krainer

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引用次数: 0

摘要

我们提出了渐近圆锥曼菲尔德上的全局伪微分学，它将舒宾在欧几里得空间上的经典全局伪微分学（各向异性版本）推广到这一类非紧凑曼菲尔德上。研究表明，全椭圆算子在索波列夫空间的关联尺度中是弗雷德霍尔姆的，并且在微积分中具有参数。

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A Shubin pseudodifferential calculus on asymptotically conic manifolds

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.

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arXiv - MATH - Operator Algebras

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