Polynomial approximation in $L_p(R, dμ)$. I

Details Polynomial approximation in $L_p(R, dμ)$. I Polynomial approximation in $L_p(R, dμ)$. I

1998-10-16

arxiv.org/abs/math/9810104v1

Mathematics

Classical Analysis and ODEs

LaTeX, amsfonts, 45 p

Scientific paper

Final representation of all those measures $\mu$ for which algebraic
polynomials are dense in $L_p(R, d\mu)$ is found. The weighted analogue of the
Weierstrass polynomial approximation theorem and a new version of the M.
Krein's theorem about partial fraction decomposition of reciprocal of an entire
function are established.

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