Integral Operators in Relation to the HOSVD‐Based Canonical Form

This paper describes the relation of the higher order singular value decomposition (HOSVD) based canonical form to the Hilbert‐Schmidt type integral operators. This connection between the canonical form of f(x) and the integral operators determined by function f(x) is important; on the one hand it gives a new aspect for the consideration of LPV models, and on the other hand it allows for the approximation of eigenfunctions and integral operators based on a numerical reconstruction of the canonical form.