Extension of functions with bounded finite differences

P. Duarte; M. J. Torres

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arXiv · 0811.4366

Extension of functions with bounded finite differences

P. Duarte·M. J. Torres

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Abstract

We prove that functions defined on a lattice in a finite dimensional torus with bounded finite differences can be smoothly extended to the whole torus, and relate the bounds on the extension's derivatives with bounds on the original function's finite differences.

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BibTeX RIS

P. Duarte, M. J. Torres. 2008-11-26. Extension of functions with bounded finite differences. https://arxiv.org/abs/0811.4366

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