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Infinitesimal generators of semigroups with prescribed boundary fixed points

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 نشر من قبل Pavel Gumenyuk
 تاريخ النشر 2020
  مجال البحث
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We study infinitesimal generators of one-parameter semigroups in the unit disk $mathbb D$ having prescribed boundary regular fixed points. Using an explicit representation of such infinitesimal generators in combination with Krein-Milman Theory we obtain new sharp inequalities relating spectral values at the fixed points with other important quantities having dynamical meaning.vWe also give a new proof of the classical Cowen-Pommerenke inequalities for univalent self-maps of $mathbb D$.

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