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Uniform subalgebras of \(L^{\infty }\) on the unit circle generated by almost periodic functions. (English. Russian original) Zbl 1203.30059

St. Petersbg. Math. J. 19, No. 4, 495-518 (2008); translation from Algebra Anal. 19, No. 4, 1-33 (2007).
Summary: Analogs of almost periodic functions for the unit circle are introduced. Certain uniform algebras generated by such functions are studied, the corona theorems for them are proved, and their maximal ideal spaces are described.

MSC:

30H05 Spaces of bounded analytic functions of one complex variable
46J20 Ideals, maximal ideals, boundaries
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References:

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