Integral operator
= Integral operator
An integral operator maps a function $f$ to a function of the form
$$
(Tf)(x)=\int K(x,y)f(y)\,dy.
$$
A bounded continuous kernel on a compact domain defines a bounded operator in the uniform norm.
= Integral operator
An integral operator maps a function $f$ to a function of the form
$$
(Tf)(x)=\int K(x,y)f(y)\,dy.
$$
A bounded continuous kernel on a compact domain defines a bounded operator in the uniform norm.