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SUMMARY:Olena Nikorak (Institute of Mathematics\, Natl. Acad. Sci. Ukraine
 )
DTSTART:20251030T133000Z
DTEND:20251030T150000Z
DTSTAMP:20260423T004912Z
UID:fran/74
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/fran/74/">Si
 ngular functions and $A_2$-continued fraction representations of numbers</
 a>\nby Olena Nikorak (Institute of Mathematics\, Natl. Acad. Sci. Ukraine)
  as part of Семінар з фрактального аналізу / Fr
 actal analysis seminar\n\n\nAbstract\nIn this talk\, we analyze the litera
 ture on the study of singular functions and on the methods used to prove t
 heir singularity\, as well as on singular functions defined in terms of th
 e $A_2$-continued fraction representation of numbers. One example of a fun
 ction with complicated local behavior\, which is related to the classical 
 binary representation and $A_2$-continued fraction representation of numbe
 rs\, is introduced. We prove that this function is singular.\n
LOCATION:https://researchseminars.org/talk/fran/74/
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