Geodesic
On Hankel Transformable Distribution Spaces
Publications de l'Institut Mathématique, _N_S_65 (1999) no. 79, p. 123

Voir la notice de l'article provenant de la source eLibrary of Mathematical Institute of the Serbian Academy of Sciences and Arts

Zbl

We establish new properties of distribution spaces of slow growth and of exponential growth that are Hankel transformable. We obtain representations of those generalized functions as initial values of solutions of the Kepinski type equation. Also we analyze Hankel positive definite functions and generalized functions. Finally we obtain characterizations of Hankel transformable distributions having bounded above or bounded below support on $(0,\infty)$.
Classification : 46F12 
Jorge J. Betancor. On Hankel Transformable Distribution Spaces. Publications de l'Institut Mathématique, _N_S_65 (1999) no. 79, p. 123 . http://geodesic.mathdoc.fr/item/PIM_1999_N_S_65_79_a12/
@article{PIM_1999_N_S_65_79_a12,
     author = {Jorge J. Betancor},
     title = {On {Hankel} {Transformable} {Distribution} {Spaces}},
     journal = {Publications de l'Institut Math\'ematique},
     pages = {123 },
     year = {1999},
     volume = {_N_S_65},
     number = {79},
     zbl = {0948.46029},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/PIM_1999_N_S_65_79_a12/}
}
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