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

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

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

See also

• List of transforms
• List of Fourier-related transforms
• Transfer operator
• Fredholm operator
• Borel transform
• Glossary of mathematical symbols