Sobre una transformación generalizada de hankel
In this paper, the classical Hankel transformation is extended to a certain space of generalized functions. We construct a space Tμ δ, B of testing functions, such that xJμ(xy) is in Tμ δ, B for every y and gt; 0. The generalized Hankel transformation hμf of fϵ Tμ, δ, B, the dual space of Tμ δ, B is...
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| Tipo de recurso: | artículo |
| Estado: | Versión publicada |
| Fecha de publicación: | 1989 |
| País: | Colombia |
| Institución: | Universidad Nacional de Colombia |
| Repositorio: | Repositorio UN |
| Idioma: | español |
| OAI Identifier: | oai:repositorio.unal.edu.co:unal/43243 |
| Acceso en línea: | https://repositorio.unal.edu.co/handle/unal/43243 http://bdigital.unal.edu.co/33341/ |
| Access Level: | acceso abierto |
| Palabra clave: | Hankel Transformation function space test functions abelian theorems/ Transformación de Hankel espacio de funciones funciones de prueba teoremas abelianos |
| Sumario: | In this paper, the classical Hankel transformation is extended to a certain space of generalized functions. We construct a space Tμ δ, B of testing functions, such that xJμ(xy) is in Tμ δ, B for every y and gt; 0. The generalized Hankel transformation hμf of fϵ Tμ, δ, B, the dual space of Tμ δ, B is defined by:(h´μf)(y)= and lt;f(x),xJμ (xy), y and gt; 0 .Several smoothness, boundedness and inversion theorems are proved. Moreover, Abelian theorems due to J.L. Griffith are extended to the space of distributions introduced. Finally, we analyze some applications of the generalized h'μ-transformation. |
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