spaces (TVSs) X and Y. An integral linear operator is a continuous linear operator that arises in a canonical way from an integral bilinear form. These maps...

the integral symbol Integral linear operators, which are linear operators induced by bilinear forms involving integrals Integral transforms, which are...

built from them are called differential operators, integral operators or integro-differential operators. Operator is also used for denoting the symbol of...

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

mathematics, operator theory is the study of linear operators on function spaces, beginning with differential operators and integral operators. The operators may...

In functional analysis, a branch of mathematics, a compact operator is a linear operator T : X → Y {\displaystyle T:X\to Y} , where X , Y {\displaystyle...

a linear endomorphism. Sometimes the term linear operator refers to this case, but the term "linear operator" can have different meanings for different...

I^{m}(u))=0} where I i ( u ) {\displaystyle I^{i}(u)} is an integral operator acting on u. Hence, integral equations may be viewed as the analog to differential...

In functional analysis and operator theory, a bounded linear operator is a linear transformation L : X → Y {\displaystyle L:X\to Y} between topological...

Fredholm integral equation is an integral equation whose solution gives rise to Fredholm theory, the study of Fredholm kernels and Fredholm operators. The...