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arXiv:0804.1945 [math.FA]AbstractReferencesReviewsResources

Algebras of Almost Periodic Functions with Bohr-Fourier Spectrum in a Semigroup: Hermite Property and its Applications

L. Rodman, Ilya M. Spitkovsky

Published 2008-04-11Version 1

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.

Comments: 18 pages
Categories: math.FA
Subjects: 42A75, 46C20, 46J20, 47A68, 47B35
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