Green's function

If L is a linear operator acting upon distributions over a manifold, M, then any solution of Lf=δ(x-x₀) where δ is the Dirac delta function at the point x₀ is called a Green's function of L at x₀.

Examples

• Let the manifold be R and L be ${\frac {\partial }{\partial x}}$. Then, the Heaviside function θ(x-x₀) is a Green's function of L at x₀.

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