The Livsic cocycle equation for compact Lie group extensions of hyperbolic systems
UNSPECIFIED. (1997) The Livsic cocycle equation for compact Lie group extensions of hyperbolic systems. JOURNAL OF THE LONDON MATHEMATICAL SOCIETY-SECOND SERIES, 56 (Part 2). pp. 405-416. ISSN 0024-6107Full text not available from this repository.
In this article we extend well-known results of Livsic on the regularity of measurable solutions to the cocycle equation. Livsic proved a regularity result for real valued cocycles, but for compact Lie group valued cocycles his result was restricted to coboundaries (that is, trivial or constant cocycles). In this article we prove the complete result. We present several useful applications of these results.
|Item Type:||Journal Article|
|Subjects:||Q Science > QA Mathematics|
|Journal or Publication Title:||JOURNAL OF THE LONDON MATHEMATICAL SOCIETY-SECOND SERIES|
|Publisher:||LONDON MATH SOC|
|Number of Pages:||12|
|Page Range:||pp. 405-416|
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