Kernel (integral operator) - Definition and Overview

In analysis, consider an integral transform T which transforms a function f into a function Tf given by the integral formula

<math> (Tf)(x) = \int_a^b k(x,y)f(y)\, dy<math>

The function k(x,y) that appears in this formula is the kernel of the operator T.

See also:

• Dirichlet kernel
• convolution
• kernel trick