Uniform convergence of {Hankel} transforms
We investigate necessary and/or sufficient conditions for the pointwise and uniform convergence of the weighted Hankel transforms [fórmula] where ν, μ ∈ R are such that 0 ≤ μ + ν ≤ α + 3/2. We subdivide these transforms into two classes in such a way that the uniform convergence criteria is remarkab...
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| Tipo de recurso: | artículo |
| Fecha de publicación: | 2018 |
| País: | España |
| Institución: | Universitat Autònoma de Barcelona |
| Repositorio: | Dipòsit Digital de Documents de la UAB |
| Idioma: | inglés |
| OAI Identifier: | oai:ddd.uab.cat:289767 |
| Acceso en línea: | https://ddd.uab.cat/record/289767 https://dx.doi.org/urn:doi:10.1016/j.jmaa.2018.09.001 |
| Access Level: | acceso abierto |
| Palabra clave: | Uniform convergence Hankel transform General monotonicity |
| Sumario: | We investigate necessary and/or sufficient conditions for the pointwise and uniform convergence of the weighted Hankel transforms [fórmula] where ν, μ ∈ R are such that 0 ≤ μ + ν ≤ α + 3/2. We subdivide these transforms into two classes in such a way that the uniform convergence criteria is remarkably different on each class. In more detail, we have the transforms satisfying μ + ν = 0 (such as the classical Hankel transform), that generalize the cosine transform, and those satisfying 0 < μ + ν ≤ α + 3/2, generalizing the sine transform. |
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