A characterization of analytic functions of n real variables
J. Siciak (1970)
Studia Mathematica
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J. Siciak (1970)
Studia Mathematica
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Dubinin, V.N., Èĭrikh, N.V. (2004)
Zapiski Nauchnykh Seminarov POMI
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Jovan D. Keckic (1969)
Publications de l'Institut Mathématique [Elektronische Ressource]
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Tsin-Hwa Shu (1961)
Annales Polonici Mathematici
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Jan Rusinek (2004)
Bulletin of the Polish Academy of Sciences. Mathematics
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For every sequence (aₙ) of positive real numbers and an operator acting in a Banach space, we introduce the families of (aₙ)-analytic and (aₙ)-quasi-analytic vectors. We prove various properties of these families.
R. M. Shortt (1987)
Colloquium Mathematicae
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B. Mitiagin, A. Pełczyński (1976)
Studia Mathematica
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Angus E. Taylor (1937)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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William Bosch (1973)
Publications de l'Institut Mathématique
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Pandelis Dodos (2003)
Colloquium Mathematicae
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We give a different proof of the well-known fact that any uncountable family of analytic subsets of a Polish space with the point-finite intersection property must contain a subfamily whose union is not analytic. Our approach is based on the Kunen-Martin theorem.