Natural group actions on tensor products of three real vector spaces with finitely many orbits.
Đokovic, Dragomir Z̆., Tingley, Peter W. (2001)
ELA. The Electronic Journal of Linear Algebra [electronic only]
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Đokovic, Dragomir Z̆., Tingley, Peter W. (2001)
ELA. The Electronic Journal of Linear Algebra [electronic only]
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Peter Poláčik (1990)
Commentationes Mathematicae Universitatis Carolinae
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Marek C. Zdun (1976)
Colloquium Mathematicae
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Aleksander Całka (1984)
Colloquium Mathematicae
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Deitmar, Anton (2006)
International Journal of Mathematics and Mathematical Sciences
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György Targoński (1977)
Annales Polonici Mathematici
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Kunyu Guo (2002)
Studia Mathematica
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Beurling's classical theorem gives a complete characterization of all invariant subspaces in the Hardy space H²(D). To generalize the theorem to higher dimensions, one is naturally led to determining the structure of each unitary equivalence (resp. similarity) class. This, in turn, requires finding podal (resp. s-podal) points in unitary (resp. similarity) orbits. In this note, we find that H-outer (resp. G-outer) functions play an important role in finding podal (resp. s-podal) points....
Changming Ding (2005)
Czechoslovak Mathematical Journal
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This paper concerns the global structure of planar systems. It is shown that if a positively bounded system with two singular points has no closed orbits, the set of all bounded solutions is compact and simply connected. Also it is shown that for such a system the existence of connecting orbits is tightly related to the behavior of homoclinic orbits. A necessary and sufficient condition for the existence of connecting orbits is given. The number of connecting orbits is also discussed. ...
Ernst Dieterich (2009)
Colloquium Mathematicae
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By a rotation in a Euclidean space V of even dimension we mean an orthogonal linear operator on V which is an orthogonal direct sum of rotations in 2-dimensional linear subspaces of V by a common angle α ∈ [0,π]. We present a criterion for the existence of a 2-dimensional subspace of V which is invariant under a given pair of rotations, in terms of the vanishing of a determinant associated with that pair. This criterion is constructive, whenever it is satisfied. It is also used to prove...
Sylvain Crovisier (2006)
Publications Mathématiques de l'IHÉS
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We prove that the chain-transitive sets of C-generic diffeomorphisms are approximated in the Hausdorff topology by periodic orbits. This implies that the homoclinic classes are dense among the chain-recurrence classes. This result is a consequence of a global connecting lemma, which allows to build by a C-perturbation an orbit connecting several prescribed points. One deduces a weak shadowing property satisfied by C-generic diffeomorphisms: any pseudo-orbit is approximated in the Hausdorff...
Collins, Pieter (2005)
Experimental Mathematics
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