On Hankel Transformable Distribution Spaces
Publications de l'Institut Mathématique, _N_S_65 (1999) no. 79, p. 123
Cet article a éte moissonné depuis la source eLibrary of Mathematical Institute of the Serbian Academy of Sciences and Arts
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 $(0,\infty)$.
@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/}
}
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/