Commuting analytic functions without fixed points
Commuting analytic functions without fixed points
Let <italic>A</italic> be the set of nonidentity analytic functions which map the open unit disk into itself. Wolff has shown that the iterates of <inline-formula content-type="math/mathml"> <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="f element-of upper A"> <mml:semantics> <mml:mrow> <mml:mi>f</mml:mi> <mml:mo>∈<!-- ∈ --></mml:mo> <mml:mi>A</mml:mi> </mml:mrow> <mml:annotation encoding="application/x-tex">f \in A</mml:annotation> </mml:semantics> </mml:math> </inline-formula> converge uniformly on …