Smooth Orthogonal Projections on Riemannian Manifold
Smooth Orthogonal Projections on Riemannian Manifold
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DOI：
10.1007/s11118-019-09818-3
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发表时间：
2018-03
影响因子：
1.1
通讯作者：
Marcin Bownik;K. Dziedziul;A. Kamont
中科院分区：
文献类型：
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作者：
Marcin Bownik;K. Dziedziul;A. Kamont
我们在黎曼流形Ma上构建恒等算子的分解，M是从属于M的开覆盖的平滑正交投影之和。这通过 Coifman 和 Meyer (C. R. Acad. Sci. Paris, Sér. I Math.,312(3), 259–261 1991) 和 Auscher, Weiss, Wickerhauser (1992) 扩展了对实线的平滑正交投影分解，以及 Bownik 和 Dziedziul 的类似分解（Const. Approx.,41, 2015 年 23-48 日）。
We construct a decomposition of the identity operator on a Riemannian manifoldMas a sum of smooth orthogonal projections subordinate to an open cover ofM. This extends a decomposition on the real line by smooth orthogonal projection due to Coifman and Meyer (C. R. Acad. Sci. Paris, Sér. I Math.,312(3), 259–261 1991) and Auscher, Weiss, Wickerhauser (1992), and a similar decomposition whenMis the sphere by Bownik and Dziedziul (Const. Approx.,41, 23–48 2015).