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Fixed points of the Ruelle-Thurston operator and the Cauchy transform

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 نشر من قبل Genadi Levin
 تاريخ النشر 2020
  مجال البحث
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 تأليف Genadi Levin




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We give necessary and sufficient conditions for a function in a naturally appearing functional space to be a fixed point of the Ruelle-Thurston operator associated to a rational function, see Lemma 2.1. The proof uses essentially a recent [13]. As an immediate consequence, we revisit Theorem 1 and Lemma 5.2 of [11], see Theorem 1 and Lemma 2.2 below.

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