An integral operator is an
operator that involves
integration. Special instances are:
* The operator of integration itself, denoted by the
integral symbol
The integral symbol:
: (Unicode), \displaystyle \int (LaTeX)
is used to denote integrals and antiderivatives in mathematics, especially in calculus.
History
The notation was introduced by the German mathematician Gottfried Wilhelm Leibniz in 1 ...
*
Integral linear operator
An integral bilinear form is a bilinear functional that belongs to the continuous dual space of X \widehat_ Y, the injective tensor product of the locally convex topological vector spaces (TVSs) ''X'' and ''Y''. An integral linear operator is a co ...
s, which are
linear operators induced by
bilinear forms involving integrals
*
Integral transform
In mathematics, an integral transform maps a function from its original function space into another function space via integration, where some of the properties of the original function might be more easily characterized and manipulated than in ...
s, which are maps between two
function spaces, which involve integrals
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Integral calculus