Solving dual integral equations on Lebesgue spaces
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1
Universidad de Zaragoza
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2
Universidad de La Rioja
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ISSN: 0039-3223
Argitalpen urtea: 2000
Alea: 142
Zenbakia: 3
Orrialdeak: 253-267
Mota: Artikulua
Beste argitalpen batzuk: Studia Mathematica
Laburpena
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 Lp 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 Σ∞n=0 cnJμ+2n+1 which converges in the Lp-norm and almost everywhere, where Jv denotes the Bessel function of order v. Finally, we study the uniqueness of the solution.