## Abstract In this paper we consider extensions of bounded vector‐valued holomorphic (or harmonic or pluriharmonic) functions defined on subsets of an open set Ω ⊂ ℝ^__N__^ . The results are based on the description of vector‐valued functions as operators. As an application we prove a vector‐value
Diffraction Problems and the Extension of Hs–Functions
✍ Scribed by I. Fedotov
- Publisher
- John Wiley and Sons
- Year
- 2002
- Tongue
- English
- Weight
- 174 KB
- Volume
- 241
- Category
- Article
- ISSN
- 0025-584X
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📜 SIMILAR VOLUMES
In this paper we prove some properties of p -additive functions as well as p -additive set -valued functions. We start with some definitions. Definition 2.1. A set C ⊆ X (where X is a vector space) is said to be a convex cone if and only if C + C ⊆ C and t C ⊆ C for all t ∈ (0, ∞). Definition 2.2.
Many model diffraction problems, generated by the Helmholtz equation, can be reduced to solving the infinite systems of linear algebraic equations SX s F. It proves that often the operators S in these problems satisfy some operator identities of the form AS y SB s ⌸ ⌸ U , where A and B are diagonal