Integral transform

An integral transform is a defined in terms of an integral,

which is a function of a parameter, denoted u in the equation above. Thus, an integral transform maps one function into another which is a function of the parameter.

There are several useful integral transforms. Each transform corresponds to a different choice of the function g. (Put a table here showing choices of g for various transforms.)

Although the properties of integral transforms vary widely, they have some properties in common. For example, every integral transform is a linear operator, since the integral is a linear operator.

See also:

• Fourier transform
• Laplace transform