Displaying similar documents to “The space of Laplace transformable distributions”

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Kokila Sundaram (1983)

Revista de la Real Academia de Ciencias Exactas Físicas y Naturales

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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.

Poincaré theorem and nonlinear PDE's

Maria E. Pliś (1998)

Annales Polonici Mathematici

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A family of formal solutions of some type of nonlinear partial differential equations is found. Terms of such solutions are Laplace transforms of some Laplace distributions. The series of these distributions are locally finite.