We study dual integral equations associated with Hankel transforms, that is, dual integral equations of Titchmarsh’s type. We reformulate these equations giving a better description in terms of continuous operators on spaces, and we solve them in these spaces. The solution is given both as an operator described in terms of integrals and as a series which converges in the -norm and almost everywhere, where denotes the Bessel function of order ν. Finally, we study the uniqueness of the solution.
@article{bwmeta1.element.bwnjournal-article-smv142i3p253bwm,
author = {\'Oscar Ciaurri and Jos\'e Guadalupe and Mario P\'erez and Juan Varona},
title = {Solving dual integral equations on Lebesgue spaces},
journal = {Studia Mathematica},
volume = {141},
year = {2000},
pages = {253-267},
zbl = {0972.45003},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-smv142i3p253bwm}
}
Ciaurri, Óscar; Guadalupe, José; Pérez, Mario; Varona, Juan. Solving dual integral equations on Lebesgue spaces. Studia Mathematica, Tome 141 (2000) pp. 253-267. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-smv142i3p253bwm/
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