Laplace Transform and Continuous-Time Frequency Response 1 Definition of Laplace Transform
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The Laplace transform on isolated time scales
Starting with a general definition of the Laplace transform on arbitrary time scales, we specify the Laplace transform on isolated time scales, prove several properties of the Laplace transform in this case, and establish a formula for the inverse Laplace transform. The concept of convolution is considered in more detail by proving the convolution theorem and a discrete analogue of the classica...
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