Hilbert–Schmidt integral operator
id:
hilbert-schmidt-integral-operator-266-9413518
title:
Hilbert–Schmidt integral operator
text:
In mathematics, a Hilbert–Schmidt integral operator is a type of integral transform. Specifically, given a domain Ω in n-dimensional Euclidean space Rn, then the square-integrable function k : Ω × Ω → C belonging to L2(Ω×Ω) such that is called a Hilbert–Schmidt kernel and the associated integral operator T : L2(Ω) → L2(Ω) given by is called a Hilbert–Schmidt integral operator.
Then T is a Hilbert–Schmidt operator with Hilbert–Schmidt norm Hilbert–Schmidt integral operators are both continuous an
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https://en.wikipedia.org/wiki/Hilbert%E2%80%93Schmidt_integral_operator
date created:
date modified:
2024-02-10T08:07:44Z
main entity:
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