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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 on the real line by smooth orthogonal projection due to Coifman and Meyer (C. R. Acad. Sci. Paris, S´er. I Math., 312(3), 259–261 1991) and Auscher, Weiss, Wickerhauser (1992), and a similar decomposition when M is the sphere by Bownik and Dziedziul (Const. Approx., 41, 23–48 2015).
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Authors (3)
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Marcin Bownik prof
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- Category:
- Articles
- Type:
- artykuły w czasopismach
- Published in:
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POTENTIAL ANALYSIS
no. 54,
pages 41 - 94,
ISSN: 0926-2601 - Language:
- English
- Publication year:
- 2021
- Bibliographic description:
- Bownik M., Dziedziul K., Kamont A.: Smooth Orthogonal Projections on Riemannian Manifold// POTENTIAL ANALYSIS -Vol. 54,iss. 1 (2021), s.41-94
- DOI:
- Digital Object Identifier (open in new tab) 10.1007/s11118-019-09818-3
- Verified by:
- Gdańsk University of Technology
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