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Asymptotic Behavior of Multiplicative Spherical Integrals and S-transform

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 نشر من قبل Jonathan Husson
 تاريخ النشر 2021
  مجال البحث
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 تأليف Jonathan Husson




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In this note, we study the asymptotics of an integral on the unitary group first proposed by Mergny and Potters as a multiplicative counterpart to the well-known Harish-Chandra Itzykson Zuber integral. In particular we prove in a mathematically rigorous manner a result from Mergnys and Potterss original paper in the case $beta =1,2$ and we generalize it for multiple arguments.



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