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arXiv · 2010.09827

On the Shape Fields Finiteness Principle

Fushuai Jiang·Garving K. Luli·Kevin O'Neill
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Abstract

In this paper, we improve the finiteness constant for the finiteness principles for $C^m(\mathbb{R}^n,\mathbb{R}^d)$ and $C^{m-1,1}(\mathbb{R}^n,\mathbb{R}^D)$ selection proven by Fefferman, Israel, and the second author and extend the more general shape fields finiteness principle to the vector-valued case.

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Fushuai Jiang, Garving K. Luli, Kevin O'Neill. 2020-10-19. On the Shape Fields Finiteness Principle. https://arxiv.org/abs/2010.09827

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