D.I. Cruz-B\'aez, J. Rodr\'{\i }guez
The ${\Cal L}_{\nu }^{(\rho )}$- transformation on McBride's spaces of generalized functions

Comment.Math.Univ.Carolinae 39,3 (1998) 445-452.

Abstract:An integral transform denoted by ${\Cal L}_{\nu }^{(\rho )}$ 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.

Keywords: Kr\"{a}tzel integral transformation, $L_p$-spaces, distributions
AMS Subject Classification: 44A15, 46F12