The extreme points of a class of functions with positive real part.
Kortram, R.A. (1997)
Bulletin of the Belgian Mathematical Society - Simon Stevin
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Kortram, R.A. (1997)
Bulletin of the Belgian Mathematical Society - Simon Stevin
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Marek Lassak (1985)
Compositio Mathematica
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Qiu, Jing Hui, McKennon, Kelly (1994)
International Journal of Mathematics and Mathematical Sciences
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A. Szybiak (1961)
Annales Polonici Mathematici
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Marek Lassak (1986)
Compositio Mathematica
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Alexander J. Izzo (1995)
Annales Polonici Mathematici
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It is shown that for each nonzero point x in the open unit disc D, there is a measure whose support is exactly ∂D ∪ {x} and that is also a weak*-exposed point in the set of representing measures for the origin on the disc algebra. This yields a negative answer to a question raised by John Ryff.
Anzelm Iwanik (1978)
Colloquium Mathematicum
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D. J. Hallenbeck, Katarzyna Tkaczyńska (1989)
Annales Polonici Mathematici
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Przemysław Liszka (2014)
Open Mathematics
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Very recently bounds for the L q spectra of inhomogeneous self-similar measures satisfying the Inhomogeneous Open Set Condition (IOSC), being the appropriate version of the standard Open Set Condition (OSC), were obtained. However, if the IOSC is not satisfied, then almost nothing is known for such measures. In the paper we study the L q spectra and Rényi dimension of generalized inhomogeneous self-similar measures, for which we allow an infinite number of contracting similarities and...
Groemer, H., Wallen, L.J. (2001)
Beiträge zur Algebra und Geometrie
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G. Mägerl (1982)
Colloquium Mathematicae
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