Coboundaries under Integrable Exponentiation
DAJANI, Karma
Tokyo J. of Math., Tome 15 (1992) no. 2, p. 83-89 / Harvested from Project Euclid
It is known that if $X$ is a Lebesgue probability space, $T:X\to X$ an ergodic measure preserving automorphism, and $n$ a fixed nonzero integer, then a coboundary for the automorphism $T^n$ is also a coboundary for $T$. In this paper, the result is extended to include the case where the exponent $n=m(x)$ is an arbitrary integrable integer valued function on $X$.
Publié le : 1992-06-15
Classification: 
@article{1270130251,
     author = {DAJANI, Karma},
     title = {Coboundaries under Integrable Exponentiation},
     journal = {Tokyo J. of Math.},
     volume = {15},
     number = {2},
     year = {1992},
     pages = { 83-89},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1270130251}
}
DAJANI, Karma. Coboundaries under Integrable Exponentiation. Tokyo J. of Math., Tome 15 (1992) no. 2, pp.  83-89. http://gdmltest.u-ga.fr/item/1270130251/