Laplace transforms associate a function of a complex variable with a function defined on a half-axis in “time.” The formal properties of the Laplace transform lead to its use in solution of initial value problems for differential equations. The definition of convolution introduces input-output models and linear system responses. Impedance analysis for linear electrical circuits actually arises from the Laplace transform analysis of the circuit element governing equations.
CITATION STYLE
Davis, J. H. (2016). Laplace transforms. In Applied and Numerical Harmonic Analysis (pp. 351–423). Springer International Publishing. https://doi.org/10.1007/978-3-319-43370-7_6
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