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arXiv · 1909.03521

Universal Taylor Series on products of planar domains

K. Kioulafa·G. Kotsovolis·V. Nestoridis
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Abstract

Using a recent Mergelyan type theorem for products of planar compact sets we establish generic existence of Universal Taylor Series on products of planar simply connected domains Omegai, i=1, . . . , d. The universal approximation is realized by partial sums of the Taylor development of the universal function on products of planar compact sets Ki, i=1, . . . , d such that the complement of Ki is connected and for at least one i0 the set Ki0 is disjoint from Omegai0.

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K. Kioulafa, G. Kotsovolis, V. Nestoridis. 2019-09-08. Universal Taylor Series on products of planar domains. https://arxiv.org/abs/1909.03521

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