Polynomial approximation in $L_p(R, d\mu)$. I
Classical Analysis and ODEs
2007-05-23 v1
Abstract
Final representation of all those measures for which algebraic polynomials are dense in 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.
Cite
@article{arxiv.math/9810104,
title = {Polynomial approximation in $L_p(R, d\mu)$. I},
author = {Andrew G. Bakan},
journal= {arXiv preprint arXiv:math/9810104},
year = {2007}
}
Comments
LaTeX, amsfonts, 45 p