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Markov’s exponent of compact sets in 𝐂ⁿ

Markov’s exponent of compact sets in 𝐂ⁿ

We introduce the notion of Markov’s exponent of a compact set in <inline-formula content-type="math/mathml"> <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="double-struck upper C Superscript n"> <mml:semantics> <mml:mrow class="MJX-TeXAtom-ORD"> <mml:msup> <mml:mrow class="MJX-TeXAtom-ORD"> <mml:mi mathvariant="double-struck">C</mml:mi> </mml:mrow> <mml:mi>n</mml:mi> </mml:msup> </mml:mrow> <mml:annotation encoding="application/x-tex">{\mathbb {C}^n}</mml:annotation> </mml:semantics> </mml:math> </inline-formula> and show that it is invariant under regular analytic maps.