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

Domingo Israel Cruz-Báez; Josemar Rodríguez

Commentationes Mathematicae Universitatis Carolinae (1998)

  • Volume: 39, Issue: 3, page 445-452
  • ISSN: 0010-2628

Abstract

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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.

How to cite

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Cruz-Báez, Domingo Israel, and Rodríguez, Josemar. "The $\mathcal {L}_\nu ^{(\rho )}$-transformation on McBride’s spaces of generalized functions." Commentationes Mathematicae Universitatis Carolinae 39.3 (1998): 445-452. <http://eudml.org/doc/248244>.

@article{Cruz1998,
abstract = {An integral transform denoted by $\{\mathcal \{L\}\}_\{\nu \}^\{(\rho )\}$ 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.},
author = {Cruz-Báez, Domingo Israel, Rodríguez, Josemar},
journal = {Commentationes Mathematicae Universitatis Carolinae},
keywords = {Krätzel integral transformation; $L_p$-spaces; distributions; Krätzel transformation; McBride space; distribution; generalized Laplace transformation},
language = {eng},
number = {3},
pages = {445-452},
publisher = {Charles University in Prague, Faculty of Mathematics and Physics},
title = {The $\mathcal \{L\}_\nu ^\{(\rho )\}$-transformation on McBride’s spaces of generalized functions},
url = {http://eudml.org/doc/248244},
volume = {39},
year = {1998},
}

TY - JOUR
AU - Cruz-Báez, Domingo Israel
AU - Rodríguez, Josemar
TI - The $\mathcal {L}_\nu ^{(\rho )}$-transformation on McBride’s spaces of generalized functions
JO - Commentationes Mathematicae Universitatis Carolinae
PY - 1998
PB - Charles University in Prague, Faculty of Mathematics and Physics
VL - 39
IS - 3
SP - 445
EP - 452
AB - An integral transform denoted by ${\mathcal {L}}_{\nu }^{(\rho )}$ 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.
LA - eng
KW - Krätzel integral transformation; $L_p$-spaces; distributions; Krätzel transformation; McBride space; distribution; generalized Laplace transformation
UR - http://eudml.org/doc/248244
ER -

References

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