A Phragmén-Lindelöf theorem conjectured by D. J. Newman
A Phragmén-Lindelöf theorem conjectured by D. J. Newman
Let <inline-formula content-type="math/mathml"> <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="upper D"> <mml:semantics> <mml:mi>D</mml:mi> <mml:annotation encoding="application/x-tex">D</mml:annotation> </mml:semantics> </mml:math> </inline-formula> be a region of the complex plane, <inline-formula content-type="math/mathml"> <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="normal infinity element-of partial-differential upper D"> <mml:semantics> <mml:mrow> <mml:mi mathvariant="normal">∞<!-- ∞ --></mml:mi> <mml:mo>∈<!-- ∈ --></mml:mo> <mml:mi mathvariant="normal">∂<!-- ∂ --></mml:mi> <mml:mi>D</mml:mi> </mml:mrow> <mml:annotation encoding="application/x-tex">\infty \in \partial …