Quasianalytic solutions of cohomological equations
Abstract. (joint work with D. Sauzin)
Following a suggestion of Kolmogorov, Arnold and Herman studied the dependence on the multiplier of the solutions of cohomological equations in one complex dimension and in the analytic category (linearization of germs or of circle diffeos). Herman raised the question whether the solutions had a quasianalytic dependence on the multiplier. We show that the answer is affermative.