Displaying similar documents to “Heaviside's theory of signal transmission on submarine cables”

On Some Generalizations of Classical Integral Transforms

Virchenko, Nina (2012)

Mathematica Balkanica New Series

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MSC 2010: 44A15, 44A20, 33C60 Using the generalized confluent hypergeometric function [6] some new integral transforms are introduced. They are generalizations of some classical integral transforms, such as the Laplace, Stieltjes, Widder-potential, Glasser etc. integral transforms. The basic properties of these generalized integral transforms and their inversion formulas are obtained. Some examples are also given.

On integral transforms.

Gupta, K.C. (1982)

International Journal of Mathematics and Mathematical Sciences

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Harmonic analysis for spinors on real hyperbolic spaces

Roberto Camporesi, Emmanuel Pedon (2001)

Colloquium Mathematicae

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We develop the L² harmonic analysis for (Dirac) spinors on the real hyperbolic space Hⁿ(ℝ) and give the analogue of the classical notions and results known for functions and differential forms: we investigate the Poisson transform, spherical function theory, spherical Fourier transform and Fourier transform. Very explicit expressions and statements are obtained by reduction to Jacobi analysis on L²(ℝ). As applications, we describe the exact spectrum of the Dirac operator, study the Abel...

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.