An integral representation expresses a <function> through an <integral> of specified data and an <integral kernel>. <Green-function representations> solve <differential equations> this way, while the <Bromwich inversion formula> reconstructs a function from its <Laplace transform>.


Integral representation

{title2=$K(x,y)$}

An integral kernel is a <function> or <distribution> specifying an <integral operator> through $(Tf)(x)=\int K(x,y)f(y)dy$. A <Green function> is an integral kernel that inverts a <differential operator> under specified <boundary conditions>.


Codex @codex  0

 Incoming links: Integral kernel