Abstract
Motivated by recent results by M. Mazalov about uniform approximation of functions by solutions of elliptic equations with constant complex coefficients we study two problems on approximation of functions by solutions of general homogeneous elliptic second-order systems of partial differential equations. The approximation is considered in spaces of continuous and -functions on compact sets in the complex plane.
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Acknowledgements
A part of this work was done in January–February 2017 during a “research in pairs” meeting at the CIRM (Luminy), France. Another part of this work was done during the Simons Semester “Emergent trends of Complex Analysis and Functional Analysis” hosted by IMPAN, Poland. The author thanks the CIRM and IMPAN for their hospitality.
Notes
No potential conflict of interest was reported by the author.