Extension of Fréchet valued real analytic functions from subvarieties of ℝd

✍ Scribed by Dietmar Vogt

• Publisher: John Wiley and Sons
• Year: 2008
• Tongue: English
• Weight: 156 KB
• Volume: 281
• Category: Article
• ISSN: 0025-584X
• DOI: 10.1002/mana.200710647

✦ Synopsis

Abstract

It is shown that for an algebraic subvariety X of ℝ^d^ every Fréchet valued real analytic function on X can be extended to a real analytic function on ℝ^d^ if and only if X is of type (PL), i.e. all of its singularities are of a certain type. Necessity of this condition is shown for any real analytic variety. (© 2008 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)