Extension of functions with bounded finite differences

Details Extension of functions with bounded finite differences Extension of functions with bounded finite differences

2008-11-26

arxiv.org/abs/0811.4366v1

Mathematics

Differential Geometry

Scientific paper

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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