A real inversion formula for the Kratzel's generalized Laplace transform.

Jorge J. Betancor; Javier A. Barrios

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Laplace transform of Laplace hyperfunctions and its applications.

Stanković, Bogoljub (2001)

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The Laplace transform on a Boehmian space

V. Karunakaran, C. Prasanna Devi (2010)

Annales Polonici Mathematici

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In the literature a Boehmian space containing all right-sided Laplace transformable distributions is defined and studied. Besides obtaining basic properties of this Laplace transform, an inversion formula is also obtained. In this paper we shall improve upon two theorems one of which relates to the continuity of this Laplace transform and the other is concerned with the inversion formula.