TY - JOUR
T1 - Densité des polynômes et le problème des moments de Hamburger
AU - Borichev, Alexander
AU - Sodin, Mikhail
N1 - Funding Information:
Acknowledgements. The authors thank Christian Berg and Alexander Fryntov for useful discussions, Paul Koosis for his many remarks and comments which improved the exposition, and l?tienne Matheron for help with the French version. At the first stage of the work, the research of the first-named author was supported in part by the Swedish Natural Science Research Council. At the final stage of work, the research of the second-named author was supported by the Israel Science Foundation.
PY - 1998/7
Y1 - 1998/7
N2 - We solve the weighted approximation problem on discrete subsets of the real line in the scale of Lp spaces. This result is applied to the classical Hamburger moment problem. In particular, we give a correct description of the canonical measures.
AB - We solve the weighted approximation problem on discrete subsets of the real line in the scale of Lp spaces. This result is applied to the classical Hamburger moment problem. In particular, we give a correct description of the canonical measures.
UR - http://www.scopus.com/inward/record.url?scp=0032112548&partnerID=8YFLogxK
U2 - 10.1016/S0764-4442(98)80095-5
DO - 10.1016/S0764-4442(98)80095-5
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AN - SCOPUS:0032112548
VL - 327
SP - 11
EP - 16
JO - Comptes Rendus Mathematique
JF - Comptes Rendus Mathematique
SN - 1631-073X
IS - 1
ER -