Codimension of polynomial subspace in $L_2(\mathbb {R},d\mu )$ for discrete indeterminate measure $\mu$
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- by Andrew G. Bakan
- Proc. Amer. Math. Soc. 130 (2002), 3545-3553
- DOI: https://doi.org/10.1090/S0002-9939-02-06566-8
- Published electronically: June 27, 2002
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Abstract:
A calculation formula is established for the codimension of the polynomial subspace in $L_2 ({\mathbb {R}}, d \mu )$ with discrete indeterminate measure $\mu$. We clarify how much the masspoint of the $n$-canonical solution of an indeterminate Hamburger moment problem differs from the masspoint of the corresponding $N$-extremal solution at a given point of the real axis.References
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Bibliographic Information
- Andrew G. Bakan
- Affiliation: Institute of Mathematics, National Academy of Sciences of Ukraine, Tereschenkovskaja 3, Kyiv 01601, Ukraine
- Email: andrew@bakan.kiev.ua
- Received by editor(s): June 15, 2000
- Published electronically: June 27, 2002
- Additional Notes: This work was done in the framework of the INTAS research network 96-0858
- Communicated by: Juha M. Heinonen
- © Copyright 2002 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 130 (2002), 3545-3553
- MSC (2000): Primary 44A60, 30E05, 41A10, 46E30; Secondary 47A57, 47B36, 42A82
- DOI: https://doi.org/10.1090/S0002-9939-02-06566-8
- MathSciNet review: 1920032