Harmonic Extension of Real Analytic Functions
β Scribed by Boghossian, A.
- Book ID
- 120096775
- Publisher
- Oxford University Press
- Year
- 1979
- Tongue
- English
- Weight
- 87 KB
- Volume
- s2-20
- Category
- Article
- ISSN
- 0024-6107
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
Let X be a compact coherent real analytic subvariety of R d . It is shown that a continuous linear operator which extends real analytic functions on X to real analytic functions on R d exists if and only if X is of type PL, which means that in every point of X the local complexification satisfies Ho
## Abstract It is shown that for an algebraic subvariety __X__ of β^__d__^ every FrΓ©chet valued real analytic function on __X__ can be extended to a real analytic function on β^__d__^ if and only if __X__ is of type (PL), i.e. all of its singularities are of a certain type. Necessity of this cond