TY - JOUR
AU - Pollicott, Mark
AB - 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.
TI - The Livsic Cocycle Equation for Compact Lie Group Extensions of Hyperbolic Systems
JO - Journal of the London Mathematical Society
DO - 10.1112/S0024610797005474
DA - 1997-10-01
UR - https://www.deepdyve.com/lp/wiley/the-livsic-cocycle-equation-for-compact-lie-group-extensions-of-y0Fj9Xhodr
SP - 405
EP - 416
VL - 56
IS - 2
DP - DeepDyve
ER -