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Matematicheskie Zametki, 2002, Volume 72, Issue 3, Pages 396–407
DOI: https://doi.org/10.4213/mzm431 (Mi mzm431) 		 
On V-Extremal Solutions of the Moment Problem

M. Yu. Kuvshinov

M. V. Lomonosov Moscow State University, Faculty of Mechanics and Mathematics
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DOI: https://doi.org/10.4213/mzm431
Abstract: We study the density problem for a set of polynomials in the space $L_\sigma ^1(-\infty ,\infty )$, where $\sigma$ is a measure with finite moments. The approach to this problem is based on methods of the theory of moments, which allows one to formulate sufficient conditions in terms of Nevanlinna functions.
Received: 25.09.2000
Revised: 20.04.2002
English version:
Mathematical Notes, 2002, Volume 72, Issue 3, Pages 362–372
DOI: https://doi.org/10.1023/A:1020551421470
Bibliographic databases:
UDC: 517.9
Language: Russian
Citation: M. Yu. Kuvshinov, “On V-Extremal Solutions of the Moment Problem”, Mat. Zametki, 72:3 (2002), 396–407; Math. Notes, 72:3 (2002), 362–372
Citation in format AMSBIB
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