shifting theorem

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shifting theorem [′shift·iŋ ‚thir·əm]

(mathematics)

If the Fourier transform of ƒ(t) isF(x), then the Fourier transform of ƒ(t-a) is exp (iax)F(x).

If the Laplace transform of ƒ(x) isF(y), then the Laplace transform of ƒ(x-a) is exp (-ay)F(y).

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