Universal Taylor Series in Several Variables Depending on Parameters
Universal Taylor Series in Several Variables Depending on Parameters
Abstract We establish generic existence of Universal Taylor Series on products $$\varOmega = \prod \varOmega _i$$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mrow> <mml:mi>Ω</mml:mi> <mml:mo>=</mml:mo> <mml:mo>∏</mml:mo> <mml:msub> <mml:mi>Ω</mml:mi> <mml:mi>i</mml:mi> </mml:msub> </mml:mrow> </mml:math> of planar simply connected domains $$\varOmega _i$$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:msub> <mml:mi>Ω</mml:mi> <mml:mi>i</mml:mi> </mml:msub> </mml:math> where the universal approximation holds on products K …