Uniform convergence of sine transforms of general monotone functions
We obtain necessary and sufficient conditions for the uniform convergence of sine integrals [fórmula] where g satisfies general monotonicity conditions. In contrast with the previous results on this topic, here we do not assume g ≥ 0.
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| Tipo de recurso: | artículo |
| Fecha de publicación: | 2017 |
| País: | España |
| Institución: | Universitat Autònoma de Barcelona |
| Repositorio: | Dipòsit Digital de Documents de la UAB |
| Idioma: | inglés |
| OAI Identifier: | oai:ddd.uab.cat:289769 |
| Acceso en línea: | https://ddd.uab.cat/record/289769 https://dx.doi.org/urn:doi:10.1002/mana.201600492 |
| Access Level: | acceso abierto |
| Palabra clave: | Fourier transform General monotone functions Sine transform Uniform convergence |
| Sumario: | We obtain necessary and sufficient conditions for the uniform convergence of sine integrals [fórmula] where g satisfies general monotonicity conditions. In contrast with the previous results on this topic, here we do not assume g ≥ 0. |
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