Inner-outer factorization of analytic matrix-valued functions
Fuente:
arXiv
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| Autore principale: | |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| Soggetti: | |
| Accesso online: | |
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| _version_ | 1866913614504394752 |
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| author | Roos, Joris |
| author_facet | Roos, Joris |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2412_12172 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Inner-outer factorization of analytic matrix-valued functions Roos, Joris Complex Variables 47A56, 30J05, 30J10, 30J15 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. |
| title | Inner-outer factorization of analytic matrix-valued functions |
| topic | Complex Variables 47A56, 30J05, 30J10, 30J15 |
| url | https://arxiv.org/abs/2412.12172 |