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Uniform subalgebras of on the unit circle generated by almost periodic functions
Author(s):
A.
Brudnyi;
D.
Kinzebulatov
Original publication:
Algebra i Analiz,
tom 19
(2007),
nomer 4.
Journal:
St. Petersburg Math. J.
19
(2008),
495-518.
MSC (2000):
Primary 30H05;
Secondary 46J20
Posted:
May 9, 2008
MathSciNet review:
2381931
Retrieve article in:
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References |
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Additional information
Abstract:
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.
References:
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, Proceedings of a Commemorative Seminar on Boundary Value Problems (Minsk, 1981), ``Universitetskoe'', Minsk, 1985, pp. 188-192. (Russian) MR 0873569
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Additional Information:
A.
Brudnyi
Affiliation:
Department of Mathematics and Statistics, University of Calgary, Calgary, Canada
Email:
albru@math.ucalgary.ca
D.
Kinzebulatov
Affiliation:
Department of Mathematics and Statistics, University of Calgary, Calgary, Canada
DOI:
10.1090/S1061-0022-08-01007-8
PII:
S 1061-0022(08)01007-8
Keywords:
Bounded holomorphic function,
almost periodic function,
uniform algebra,
maximal ideal space,
corona theorem
Received by editor(s):
9/NOV/2006
Posted:
May 9, 2008
Additional Notes:
Supported in part by NSERC
Copyright of article:
Copyright
2008,
American Mathematical Society
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