Simultaneous approximation of translation operators
Nikos Tsirivas
TL;DR
This paper proves the existence of entire functions capable of universally approximating a specific set of translation operators on countable sequences, advancing the understanding of approximation theory in complex analysis.
Contribution
It introduces a novel proof demonstrating the existence of entire functions that can simultaneously approximate multiple translation operators.
Findings
Existence of entire functions for universal approximation
Applicable to countable sequences of translation operators
Advances theoretical understanding of approximation in complex analysis
Abstract
We prove the existence of entire functions that achieve universal approximations on certain countable sequences of translation operators .
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Taxonomy
TopicsApproximation Theory and Sequence Spaces · Meromorphic and Entire Functions