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arXiv · 2112.08130

Elliptic parametrices in the 0-calculus of Mazzeo and Melrose

Peter Hintz
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Abstract

The purpose of this note is to spell out the details of the construction of parametrices for fully elliptic uniformly degenerate pseudodifferential operators on manifolds $X$ with boundary. Following the original work by Mazzeo-Melrose on the 0-calculus, the parametrices are shown to have (polyhomogeneous) conormal Schwartz kernels on the 0-double space, a resolution of $X^2$. The extended 0-double space introduced by Lauter plays a useful role in the construction.

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Peter Hintz. 2021-12-15. Elliptic parametrices in the 0-calculus of Mazzeo and Melrose. https://doi.org/10.2140/paa.2023.5.729

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