Rational functions of best L
p- approximation and analytic continuability |
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| Authors: | Julian Lawrynowicz Ralitza K Kovacheva |
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| Institution: | 1. Chair of Solid State Physics, University of Lodz, Pomorska 149/153, P1-90-236, Lodz
2. Institute of Mathematics, Bulgarian Academy of Sciences, Acad. Bonchev str.8,13, Sofia, Bulgaria
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| Abstract: | Sufficient conditions for the analytic (resp. meromorphic) continuability of a function f ∈ L p(?1, l]), p > 0, in terms of rational functions of best weighted L p- approximation with an unbounded number of finite poles are established. |
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