Starts 4 May 2022 14:00

Ends 4 May 2022 15:00

Central European Time

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Regularity properties of Brjuno and Wilton functions

Starts 4 May 2022 14:00

Ends 4 May 2022 15:00

Central European Time

ICTP

Leonardo Building - Lecture Room D

In this talk, at first, we consider the k-Brjuno functions and the Wilton function which are related to the classical Brjuno function. We study their BMO (Bounded Mean Oscillation) regularity properties. Then we complexify the functional equations which they fulfill and we construct analytic extensions of the k-Brjuno and of the Wilton function to the upper half-plane.

Secondly, we introduce Brjuno-type functions associated with by-excess (backward), odd, even and odd-odd continued fractions. We see that the Brjuno numbers are characterized by the Brjuno-type functions. Then we deal with their Holder continuity properties.