Mathematics of the USSR-Izvestiya · 1987 · 58 citations · 5 references
Natural SciencesMathematicsDynamical SystemsMathematical PhysicsTopologyContinuous Dynamical SystemsContinuous SystemsOperator TheorySpectral MethodsSpectral TheoryApproximation TheoryPiecewise-smooth Dynamical SystemsPiecewise-smooth SystemsSpectral ApproximationSpectral Theory Of Dynamical Systems
Dynamical systems with new spectral properties are constructed using approximation theory. It is proved that these properties are generic (in a metric and topological sense) and realized within the class of smooth systems preserving a smooth measure. Bibliography: 21 titles.
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Ronald Larsen · Pacific Journal of Mathematics · 1965 · 38 citations · Full text
Metric properties of measure preserving homeomorphisms
A. Katok · Russian Mathematical Surveys · 1970 · 37 citations