Abstract
It is proved that if a Wiener class matrix function on a connected compact abelian group admits a factorization with respect to a connected compact abelian supergroup, then it admits a factorization with respect to the original group. In particular, all factorization indices are characters of the original group. An illustrative example is considered.
Original language | English (US) |
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Pages (from-to) | 604-613 |
Number of pages | 10 |
Journal | Journal of Mathematical Analysis and Applications |
Volume | 323 |
Issue number | 1 |
DOIs | |
State | Published - Nov 1 2006 |
Keywords
- Linearly ordered groups
- Wiener algebras
- Wiener-Hopf factorization
ASJC Scopus subject areas
- Analysis
- Applied Mathematics