An extension of the theorem of Hartogs
An extension of the theorem of Hartogs
Hartogs proved that every function which is holomorphic on the boundary of the unit ball in <inline-formula content-type="math/mathml"> <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="upper C Superscript n Baseline comma n greater-than 1"> <mml:semantics> <mml:mrow> <mml:mrow class="MJX-TeXAtom-ORD"> <mml:msup> <mml:mi>C</mml:mi> <mml:mi>n</mml:mi> </mml:msup> </mml:mrow> <mml:mo>,</mml:mo> <mml:mi>n</mml:mi> <mml:mo>></mml:mo> <mml:mn>1</mml:mn> </mml:mrow> <mml:annotation encoding="application/x-tex">{C^n},n > 1</mml:annotation> </mml:semantics> </mml:math> </inline-formula>, …