Quasianalytic Monogenic Solutions of a Cohomological Equation

Stefano Marmi · D. Sauzin

Jan 2003 · Memoirs of the American Mathematical Society: American Mathematical Society Book 780 · American Mathematical Soc.

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We prove that the solutions of a cohomological equation of complex dimension one and in the analytic category have a monogenic dependence on the parameter. This cohomological equation is the standard linearized conjugacy equation for germs of holomorphic maps in a neighborhood of a fixed point.

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