Weierstrass transform

Weierstrass transform

[′vī·ər‚shträs ′tranz‚fȯrm] (mathematics) This transform of a real function ƒ(y) is the function given by the integral from - ∞ to ∞ of (4π t)-1/2exp[-(x-y)2/4] ƒ(y) dy; this is used in studying the heat equation.