Publikationsansicht

Extension of functions with bounded finite differences (2008)

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.

Details der Publikation
Download http://arxiv.org/abs/0811.4366
Archiv arXiv (United States)
Keywords Mathematics - Differential Geometry, 58C25, 26B35
Typ text