Abstract:
We show that various possible versions of the Brjuno function, based on different kinds of continued fraction developments, are all equivalent and we study their regularity (L p, BMO and Hölder) properties, through a systematic analysis of the functional equation which they fulfill.
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Received: 21 March 1995 / Accepted: 8 August 1996
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Marmi, S., Moussa, P. & Yoccoz, JC. The Brjuno Functions and Their Regularity Properties . Comm Math Phys 186, 265–293 (1997). https://doi.org/10.1007/s002200050110
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DOI: https://doi.org/10.1007/s002200050110