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UID:7448@i2m.univ-amu.fr
DTSTART;TZID=Europe/Paris:20171120T100000
DTEND;TZID=Europe/Paris:20171120T110000
DTSTAMP:20241120T204332Z
URL:https://www.i2m.univ-amu.fr/evenements/orthogonal-polynomials-for-a-sy
 stem-of-jordan-curves-stability-of-ratio-asymptotics/
SUMMARY:Anna Kononova (Saint Petersburg State University\, Russia): Orthogo
 nal polynomials for a system of Jordan curves: stability of ratio asymptot
 ics
DESCRIPTION:Anna Kononova: Consider a system of mutually disjoint Jordan cu
 rves E:= ∪j=1nEj ⊂ ℂ. We will discuss some problems concerning the r
 atio asymptotics of the orthogonal polynomials for Szegö measures support
 ed by E. More precisely\, let μ be such a measure\, and suppose that we p
 erturb the measure μ by adding a finite number of point masses outside of
  E or by multiplying the weight function by some factor. The following que
 stion is addressed: what can be said about the influence of such kind of p
 erturbation on the ratio asymptotics of the corresponding orthogonal polyn
 omials? Note that in case E ⊂  the question about stability of the ratio
  asymptotics can be reduced to the study of compactness for perturbations 
 of the corresponding Jacobi operator. \nhttps://www.researchgate.net/profi
 le/Anna-Kononova\n\n&nbsp\;\n
ATTACH;FMTTYPE=image/jpeg:https://www.i2m.univ-amu.fr/wp-content/uploads/2
 021/03/Anna_Kononova.jpg
CATEGORIES:Séminaire,Analyse et Géométrie
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