shifting theorem

shifting theorem

[′shift·iŋ ‚thir·əm]
(mathematics)
If the Fourier transform of ƒ(t) is F (x), then the Fourier transform of ƒ(t-a) is exp (iax) F (x).
If the Laplace transform of ƒ(x) is F (y), then the Laplace transform of ƒ(x-a) is exp (-ay) F (y).
References in periodicals archive ?
Kim, "The time shifting theorem and the convolution for Elzaki Transform," Global Journal of Pure and Applied Mathematics, vol.
The shifted data problems, shifting theorems, and the forms of solutions of ODEs with variable coefficients can be found in [4,12,13].
The Definition and the Table of Generalized Integral Transform G, Shifting Theorems. As mentioned before, let us rewrite the definition of Laplace-typed integral transforms, and we would like to call it G-transform.