Minimal Factorization of Integral Operators and Cascade Decompositions of Systems
Israel Gohberg, M. A. Kaashoek · Birkhäuser Basel eBooks · 1986
A minimal factorization theory is developed for integral operators of the second kind with a semi-separable kernel. Explicit formulas for the factors are given. The results are natural generalizations of the minimal factorization theorems for rational matrix functions. LU- and UL-factorization appear as special cases. In the proofs connections with cascade decompositions of systems with well-posed boundary conditions play an essential role. These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.