An extension of Whitney approximation theorem
The classical Whitney approximation theorem states that a smooth function function f: Rn - R can be approximated by analytic functions. We prove that these analytic functions approximating f can be taken aas real holomorphic functions on the whole space Cn.
| Autores: | , , |
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| Tipo de recurso: | capítulo de libro |
| Fecha de publicación: | 2012 |
| País: | España |
| Institución: | Universidad Complutense de Madrid (UCM) |
| Repositorio: | Docta Complutense |
| Idioma: | inglés |
| OAI Identifier: | oai:docta.ucm.es:20.500.14352/45357 |
| Acceso en línea: | https://hdl.handle.net/20.500.14352/45357 |
| Access Level: | acceso abierto |
| Palabra clave: | 514 515.1 Whitney approximation theorem Approximation by analytic functions Geometría Topología 1204 Geometría 1210 Topología |
| Sumario: | The classical Whitney approximation theorem states that a smooth function function f: Rn - R can be approximated by analytic functions. We prove that these analytic functions approximating f can be taken aas real holomorphic functions on the whole space Cn. |
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