Smooth orthogonal projections on Riemannian manifold
Classical Analysis and ODEs
2018-03-12 v1 Differential Geometry
Abstract
We construct a decomposition of the identity operator on a Riemannian manifold as a sum of smooth orthogonal projections subordinate to an open cover of . This extends a decomposition of the real line by smooth orthogonal projection due to Coifman, Meyer and Auscher, Weiss, Wickerhauser, and a similar decomposition when is the sphere by the first two authors.
Keywords
Cite
@article{arxiv.1803.03634,
title = {Smooth orthogonal projections on Riemannian manifold},
author = {Marcin Bownik and Karol Dziedziul and Anna Kamont},
journal= {arXiv preprint arXiv:1803.03634},
year = {2018}
}