On holomorphic continuation of functions defined on a pencil of boundary complex lines
| Autor: | S. A. Imomkulov |
|---|---|
| Rok vydání: | 2005 |
| Předmět: |
Mathematics::Complex Variables
General Mathematics Mathematical analysis Holomorphic function Infinite-dimensional holomorphy Casorati–Weierstrass theorem Identity theorem Hartogs' extension theorem symbols.namesake Domain of holomorphy symbols Analyticity of holomorphic functions Edge-of-the-wedge theorem Mathematics |
| Zdroj: | Izvestiya: Mathematics. 69:345-363 |
| ISSN: | 1468-4810 1064-5632 |
| DOI: | 10.1070/im2005v069n02abeh000532 |
| Popis: | We study domains of holomorphy of functions having thin singularities along a fixed direction. We prove a boundary analogue of Hartogs' theorem on the holomorphic continuation of functions of several variables that admit holomorphic continuation in one variable. |
| Databáze: | OpenAIRE |
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