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New inversion formulas for the Krätzel transformation.

Cruz-Báez, Domingo Israel; Rodríguez Expósito, José — 2001

International Journal of Mathematics and Mathematical Sciences

The $ℒ_{ν}^{(ρ)}$ -transformation on McBride’s spaces of generalized functions

Domingo Israel Cruz-Báez; Josemar Rodríguez — 1998

Commentationes Mathematicae Universitatis Carolinae

An integral transform denoted by $ℒ_{ν}^{(ρ)}$ that generalizes the well-known Laplace and Meijer transformations, is studied in this paper on certain spaces of generalized functions introduced by A.C. McBride by employing the adjoint method.

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New inversion formulas for the Krätzel transformation.

The ℒ ν ( ρ ) -transformation on McBride’s spaces of generalized functions

The $ℒ_{ν}^{(ρ)}$ -transformation on McBride’s spaces of generalized functions