The Carathéodory-Toeplitz problem for almost periodic functions

Ilya Spitkovsky, Hugo J. Woerdeman

Research output: Contribution to journalArticle

Abstract

In this paper we consider the Carathéodory-Toeplitz positive extension problem in the Wiener algebra of almost periodic functions. We derive necessary and sufficient conditions for the existence of a positive band extension, which is also characterized by a maximum entropy principle. In addition a linear fractional parametrization for the set of all positive extensions of a given function is obtained.

Original languageEnglish (US)
Pages (from-to)281-293
Number of pages13
JournalJournal of Functional Analysis
Volume115
Issue number2
DOIs
StatePublished - Aug 1 1993

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Almost Periodic Functions
Otto Toeplitz
Wiener Algebra
Maximum Entropy Principle
Parametrization
Fractional
Necessary Conditions
Sufficient Conditions

ASJC Scopus subject areas

  • Analysis

Cite this

The Carathéodory-Toeplitz problem for almost periodic functions. / Spitkovsky, Ilya; Woerdeman, Hugo J.

In: Journal of Functional Analysis, Vol. 115, No. 2, 01.08.1993, p. 281-293.

Research output: Contribution to journalArticle

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