List of mathematic operators

In mathematics, an operator or transform is a function from one space of functions to another. Operators occur commonly in engineering, physics and mathematics. Many are integral operators and differential operators.

In the following L is an operator


 * $$L:\mathcal{F}\to\mathcal{G}$$

which takes a function $$y\in\mathcal{F}$$ to another function $$L[y]\in\mathcal{G}$$. Here, $$\mathcal{F}$$ and $$\mathcal{G}$$ are some unspecified function spaces, such as Hardy space, Lp space, Sobolev space, or, more vaguely, the space of holomorphic functions.