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Bilateral Laplace Transform

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A bilateral Laplace transform is a two-sided (doubly infinite) Laplace transform given by

L_t[f(t)](s)=int_(-infty)^inftyf(t)e^(-st)dt.

While some authors use this as the primary definition of "the" Laplace transform (Oppenheim et al. 1997), it is much more common for the unilateral Laplace transform to be considered the primary definition.

See also

Laplace Transform, Unilateral Laplace Transform

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References

Oppenheim, A. V.; Willsky, A. S.; and Nawab, S. H. Signals and Systems, 2nd ed. Upper Saddle River, NJ: Prentice-Hall, 1997.

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Bilateral Laplace Transform

Cite this as:

Weisstein, Eric W. "Bilateral Laplace Transform." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/BilateralLaplaceTransform.html

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