Fréchet-Valued Real Analytic Functions on Fréchet Spaces
✍ Scribed by Le Mau Hai; Nguyen Van Khue
- Publisher
- Springer Vienna
- Year
- 2003
- Tongue
- English
- Weight
- 224 KB
- Volume
- 139
- Category
- Article
- ISSN
- 0026-9255
No coin nor oath required. For personal study only.
📜 SIMILAR VOLUMES
## 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 cond
## Abstract We characterize tame pairs (__X__, __Y__) of Fréchet spaces where either __X__ or __Y__ is a power series space. For power series spaces of finite type, we get the well‐known conditions of (__DN__)‐(Ω) type. On the other hand, for power series spaces of infinite type, surprisingly, tame