Inner-outer factorization of analytic matrix-valued functions
arXiv:2412.12172
Abstract
This is a study of inner-outer factorization for analytic matrix-valued functions focusing on representations of the factors in terms of multiplicative integrals. Included is a brief introduction to the theory of multiplicative integrals and an exposition of V. P. Potapov's representation theorem for contractive matrix-valued functions in terms of Blaschke-Potapov factors and multiplicative integrals.
75 pages; this was the author's 2014 Master's thesis at the University of Bonn