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arXiv · 2412.12172

Inner-outer factorization of analytic matrix-valued functions

Joris Roos
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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.

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Joris Roos. 2024-12-12. Inner-outer factorization of analytic matrix-valued functions. https://arxiv.org/abs/2412.12172

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