On the completeness of algebraic polynomials in the spaces L p (ℝ, dμ)

  • A. G. Bakan
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We prove that the theorem on the incompleteness of polynomials in the space C 0 w established by de Branges in 1959 is not true for the space L p (ℝ, dμ) if the support of the measure μ is sufficiently dense.

Keywords

Entire Function Moment Problem Algebraic Polynomial Discrete Measure Entire Transcendental Function 
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Copyright information

© Springer Science+Business Media, Inc. 2009

Authors and Affiliations

  • A. G. Bakan
    • 1
  1. 1.Institute of MathematicsUkrainian National Academy of SciencesKievUkraine

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