Displaying similar documents to “The n-dimensional distributional Mellin transformation.”

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Kokila Sundaram (1983)

Revista de la Real Academia de Ciencias Exactas Físicas y Naturales

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A Kratzel's integral transformation of distributions.

J. A. Barrios, J. J. Betancor (1991)

Collectanea Mathematica

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In this paper we study an integral transformation introduced by E. Kratzel in spaces of distributions. This transformation is a generalization of the Laplace transform. We employ the usually called kernel method. Analyticity, boundedness, and inversion theoremes are established for the generalized transformation.

On 1-regular ordinary differential operators

Grzegorz Łysik (2000)

Annales Polonici Mathematici

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Solutions to singular linear ordinary differential equations with analytic coefficients are found in the form of Laplace type integrals.

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.