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Revisiting the 1D and 2D Laplace Transforms
Version 1
: Received: 11 July 2020 / Approved: 12 July 2020 / Online: 12 July 2020 (15:46:45 CEST)
A peer-reviewed article of this Preprint also exists.
Duarte Ortigueira, M.; Tenreiro Machado, J. Revisiting the 1D and 2D Laplace Transforms. Mathematics 2020, 8, 1330, doi:10.3390/math8081330. Duarte Ortigueira, M.; Tenreiro Machado, J. Revisiting the 1D and 2D Laplace Transforms. Mathematics 2020, 8, 1330, doi:10.3390/math8081330.
Abstract
This paper reviews the unilateral and bilateral, one- and two-dimensional Laplace transforms. The unilateral and bilateral Laplace transforms are compared in the one-dimensional case, leading to the formulation of the initial-condition theorem. This problem is solved with all generality in the one- and two-dimensional cases with the bilateral Laplace transform. General two-dimensional linear systems are introduced and the corresponding transfer function defined.
Keywords
Laplace transform; Two-dimensional Laplace transform; Initial-conditions; Two-dimensional linear systems
Subject
Computer Science and Mathematics, Mathematics
Copyright: This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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