Power substitution in quasianalytic Carleman classes.

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Date(s) - 25/04/2019
14 h 00 min - 15 h 00 min

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In this talk, I will consider power substitutions in quasianalytic Carleman classes, i.e. equations of the form f(x)=g(x^k), where k>1 is an integer and f is a given function in a quasianalytic Carleman class. I will show that if g happens to be a smooth function, then g belongs to a quasianalytic class completely characterized in terms of bounds on the derivatives of g.
The talk is based on joint work with L. Buhovski and S. Sodin.


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