Abstract
It is proved that the unital Banach algebra of almost periodic functions of several variables with Bohr-Fourier spectrum in a given additive semigroup is an Hermite ring. The same property holds for the Wiener algebra of functions that in addition have absolutely convergent Bohr-Fourier series. As applications of the Hermite property of these algebras, we study factorizations of Wiener-Hopf type of rectangular matrix functions and the Toeplitz corona problem in the context of almost periodic functions of several variables.
Original language | English (US) |
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Pages (from-to) | 3188-3207 |
Number of pages | 20 |
Journal | Journal of Functional Analysis |
Volume | 255 |
Issue number | 11 |
DOIs | |
State | Published - Dec 1 2008 |
Keywords
- Almost periodic functions
- Factorization
- Hermite rings
- Matrix functions
- Toeplitz corona
- Wiener algebra
ASJC Scopus subject areas
- Analysis