Differential Properties of Functions of a Complex Variable which are Invariant under Linear Transformations
E. J. Wilezynski (1923)
Journal de Mathématiques Pures et Appliquées
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E. J. Wilezynski (1923)
Journal de Mathématiques Pures et Appliquées
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John C. Morgan II (1975)
Colloquium Mathematicae
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Marek Jarnicki, Peter Pflug
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N. Wiener (1922)
Bulletin de la Société Mathématique de France
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P. G. Dodds, E. M. Semenov, F. A. Sukochev (2002)
Studia Mathematica
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We present necessary and sufficient conditions for a rearrangement invariant function space to have a complete orthonormal uniformly bounded RUC system.
Giulio Pianigiani (1981)
Annales Polonici Mathematici
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Viggo Edén (1964)
Mathematica Scandinavica
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Zofia Szmydt (1979)
Annales Polonici Mathematici
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Bedřich Pondělíček (1969)
Czechoslovak Mathematical Journal
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Hans-Peter Heinz (1974)
Manuscripta mathematica
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V. Losert, H. Rindler (1987)
Colloquium Mathematicae
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Magdalena Frąszczak, Jarosław Bartoszewicz (2012)
Applicationes Mathematicae
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Bartoszewicz and Benduch (2009) applied an idea of Lehmann and Rojo (1992) to a new setting and used the GTTT transform to define invariance properties and distances of some stochastic orders. In this paper Lehmann and Rojo's idea is applied to the class of models which is based on distributions which are compositions of distribution functions on [0,1] with underlying distributions. Some stochastic orders are invariant with respect to these models.
Bogdan Ziemian (2000)
Annales Polonici Mathematici
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In this paper sufficient conditions are given in order that every distribution invariant under a Lie group extend from the set of orbits of maximal dimension to the whole of the space. It is shown that these conditions are satisfied for the n-point action of the pure Lorentz group and for a standard action of the Lorentz group of arbitrary signature.