Solution of the polynomial moment problem Export

@misc{citeulike:1810488, abstract = {In this paper we give a complete solution of the following ''polynomial moment problem'' which arose about 10 years ago in connection with Poincare's center-focus problem. For a given polynomial P(z) to describe polynomials Q(z) orthogonal to all powers of P(z) on a segment [a,b].}, archivePrefix = {arXiv}, author = {Muzychuk, M. and Pakovich, F.}, citeulike-article-id = {1810488}, citeulike-linkout-0 = {http://arxiv.org/abs/0710.4085}, citeulike-linkout-1 = {http://arxiv.org/pdf/0710.4085}, day = {22}, eprint = {0710.4085}, keywords = {algebraic\_geometry, complex\_analysis, univariate\_functions}, month = {Oct}, posted-at = {2007-10-23 13:10:53}, priority = {5}, title = {Solution of the polynomial moment problem}, url = {http://arxiv.org/abs/0710.4085}, year = {2007} }

TY - ELEC ID - citeulike:1810488 L3 - citeulike-article-id:1810488 N2 - In this paper we give a complete solution of the following ''polynomial moment problem'' which arose about 10 years ago in connection with Poincare's center-focus problem. For a given polynomial P(z) to describe polynomials Q(z) orthogonal to all powers of P(z) on a segment [a,b]. TI - Solution of the polynomial moment problem KW - algebraic_geometry KW - complex_analysis KW - univariate_functions AU - Muzychuk, M AU - Pakovich, F PY - 2007/Oct/22/ UR - http://arxiv.org/abs/0710.4085 ER -