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arxiv: math/0607511 · v1 · pith:PAQKMCCHnew · submitted 2006-07-20 · 🧮 math.CV · cs.NA· math.NA

Approximation on arcs and dendrites going to infinity in C^n (extended version)

classification 🧮 math.CV cs.NAmath.NA
keywords approximationextendedgoinginfinityapproximatedarcscertaincontinuous
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The Stone-Weierstrass approximation theorem is extended to certain unbounded sets in $C^n$. In particular, on a locally rectifiable arc going to infinity, each continuous function can be approximated by entire functions.

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