Fischer decompositions for entire functions of sufficiently low order
The existence of decompositions of the form f = P ·q+r with P∗ k(D)r =0, where f is entire, P a polynomial and P∗ k the principal part of P with its coefficients conjugated, was achieved in [1] under certain restrictions on the order of f. Here we prove uniqueness, thereby obtaining Fischer decompos...
| Autores: | , |
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| Tipo de recurso: | artículo |
| Fecha de publicación: | 2024 |
| País: | España |
| Institución: | Universidad Autónoma de Madrid |
| Repositorio: | Biblos-e Archivo. Repositorio Institucional de la UAM |
| Idioma: | inglés |
| OAI Identifier: | oai:repositorio.uam.es:10486/734760 |
| Acceso en línea: | https://hdl.handle.net/10486/734760 https://dx.doi.org/10.1016/j.jmaa.2024.129201 |
| Access Level: | acceso embargado |
| Palabra clave: | Fischer decomposition entire function of finite order Matemáticas |
| Sumario: | The existence of decompositions of the form f = P ·q+r with P∗ k(D)r =0, where f is entire, P a polynomial and P∗ k the principal part of P with its coefficients conjugated, was achieved in [1] under certain restrictions on the order of f. Here we prove uniqueness, thereby obtaining Fischer decompositions, under conditions that sometimes match those required for existence, and sometimes are more restrictive, depending on the parameters involved |
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