Inner-outer factorization of analytic matrix-valued functions
Complex Variables
2024-12-18 v1
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.
Keywords
Cite
@article{arxiv.2412.12172,
title = {Inner-outer factorization of analytic matrix-valued functions},
author = {Joris Roos},
journal= {arXiv preprint arXiv:2412.12172},
year = {2024}
}
Comments
75 pages; this was the author's 2014 Master's thesis at the University of Bonn