Abstract
We give characterisations of certain positive finite Borel measures with unbounded support on the real axis so that the algebraic polynomials are dense in all spacesL p (R,dμ),p≥1. These conditions apply, in particular, to the measures satisfying the classical Carleman conditions.
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This work was completed while A. Bakan was visiting Würzburg University, supported by the German Academic Exchange Service (DAAD). S. Ruscheweyh received partial support from the German-Israeli Foundation (grant G-643-117.6/1999) and from INTAS (Project 99-00089).
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Bakan, A., Ruscheweyh, S. Representation of measures with simultaneous polynomial denseness inL p (R,dμ), 1≤p<∞. Ark. Mat. 43, 221–249 (2005). https://doi.org/10.1007/BF02384778
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DOI: https://doi.org/10.1007/BF02384778