Rational functions of best L p- approximation and analytic continuability |
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Authors: | Julian Lawrynowicz Ralitza K. Kovacheva |
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Affiliation: | 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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