The $\Cal L_\nu^{(\rho )}$-transformation on McBride's spaces of generalized functions
Commentationes Mathematicae Universitatis Carolinae, Tome 39 (1998) no. 3, pp. 445-452
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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.
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.
Classification :
44A10, 44A15, 46F12
Keywords: Krätzel integral transformation; $L_p$-spaces; distributions
Keywords: Krätzel integral transformation; $L_p$-spaces; distributions
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author = {Cruz-B\'aez, D. I. and Rodr{\'\i}guez, J.},
title = {The $\Cal L_\nu^{(\rho )}$-transformation on {McBride's} spaces of generalized functions},
journal = {Commentationes Mathematicae Universitatis Carolinae},
pages = {445--452},
year = {1998},
volume = {39},
number = {3},
mrnumber = {1666833},
zbl = {0971.44002},
language = {en},
url = {http://geodesic.mathdoc.fr/item/CMUC_1998_39_3_a1/}
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PY - 1998
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Cruz-Báez, D. I.; Rodríguez, J. The $\Cal L_\nu^{(\rho )}$-transformation on McBride's spaces of generalized functions. Commentationes Mathematicae Universitatis Carolinae, Tome 39 (1998) no. 3, pp. 445-452. http://geodesic.mathdoc.fr/item/CMUC_1998_39_3_a1/