Algebras of almost periodic functions with Bohr-Fourier spectrum in a semigroup: Hermite property and its applications

Leiba Rodman, Ilya Spitkovsky

Research output: Contribution to journalArticle

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 languageEnglish (US)
Pages (from-to)3188-3207
Number of pages20
JournalJournal of Functional Analysis
Volume255
Issue number11
DOIs
StatePublished - Dec 1 2008

Fingerprint

Almost Periodic Functions
Fourier Spectrum
Several Variables
Hermite
Semigroup
Wiener Algebra
Algebra
Corona
Otto Toeplitz
Matrix Function
Unital
Banach algebra
Fourier series
Factorization
Ring
Context

Keywords

  • Almost periodic functions
  • Factorization
  • Hermite rings
  • Matrix functions
  • Toeplitz corona
  • Wiener algebra

ASJC Scopus subject areas

  • Analysis

Cite this

Algebras of almost periodic functions with Bohr-Fourier spectrum in a semigroup : Hermite property and its applications. / Rodman, Leiba; Spitkovsky, Ilya.

In: Journal of Functional Analysis, Vol. 255, No. 11, 01.12.2008, p. 3188-3207.

Research output: Contribution to journalArticle

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