Theorem

Whitney Extension Theorem

Analysis

The Whitney extension theorem, a result of Hassler Whitney, is a partial converse to Taylor's theorem in mathematical analysis. It states that if A is a closed subset of a Euclidean space, then a function defined on A can be extended to the whole space in such a way that the extension has prescribed derivatives at every point of A. This description is adapted from Wikipedia contributors under CC BY-SA 4.0; changes were made. https://creativecommons.org/licenses/by-sa/4.0/

Facts

Classification

Statement Form

Existence Theorem 1

Whitney Extension Theorem

1 entry

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Hassler Whitney

Whitney Extension Theorem

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Has Statement Form

Existence Theorem

In Branch

Analysis

Source Whitney Extension Theorem (Wikipedia)

Principal Result Of

Hassler Whitney

Source Whitney Extension Theorem (Wikipedia)

Proved By

Hassler Whitney

Source Whitney Extension Theorem (Wikipedia)

Sources

1. Whitney Extension Theorem (Wikipedia)

Lead section
In mathematics, in particular in mathematical analysis, the Whitney extension theorem is a partial converse to Taylor's theorem.
Principal Result Of: Hassler Whitney, Lead sentence of the article on the result
It is a result of Hassler Whitney.
In Branch: Analysis, Lead sentence
In mathematics, in particular in mathematical analysis, the Whitney extension theorem is a partial converse to Taylor's theorem.
Proved By: Hassler Whitney, Lead paragraph
In mathematics, in particular in mathematical analysis, the Whitney extension theorem is a partial converse to Taylor's theorem. Roughly speaking, the theorem asserts that if A is a closed

Whitney Extension Theorem

Hassler Whitney

Has Statement Form

In Branch

Principal Result Of

Proved By

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