Complex Analysis and Operator Theory

, Volume 5, Issue 3, pp 671–681 | Cite as

C m -Approximation by Polyanalytic Polynomials on Compact Subsets of the Complex Plane

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Abstract

Several necessary and sufficient conditions on C m -approximability of functions on compact subsets of the complex plane by polyanalytic polynomials are obtained. The resulting conditions for approximation are of the topological nature.

Keywords

Polyanalytic functions and polynomials Cm-approximation 

Mathematics Subject Classification (2000)

Primary 30E10 Secondary 30G30 
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Copyright information

© Springer Basel AG 2010

Authors and Affiliations

  1. 1.Moscow State Technical UniversityMoscowRussia

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