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arXiv · 1803.03634

Smooth orthogonal projections on Riemannian manifold

Marcin Bownik·Karol Dziedziul·Anna Kamont
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Abstract

We construct a decomposition of the identity operator on a Riemannian manifold $M$ as a sum of smooth orthogonal projections subordinate to an open cover of $M$. 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 $M$ is the sphere by the first two authors.

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Marcin Bownik, Karol Dziedziul, Anna Kamont. 2018-03-09. Smooth orthogonal projections on Riemannian manifold. https://arxiv.org/abs/1803.03634

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