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