English

On polynomials orthogonal to all powers of a given polynomial on a segment

Classical Analysis and ODEs 2007-05-23 v1 Complex Variables

Abstract

In this paper we investigate the following "polynomial moment problem": for a complex polynomial P(z)P(z) and distinct complex numbers a,ba,b to describe polynomials q(z)q(z) orthogonal to all integer non-negative powers of P(z)P(z) on the segment [a,b].[a,b].

Keywords

Cite

@article{arxiv.math/0408019,
  title  = {On polynomials orthogonal to all powers of a given polynomial on a segment},
  author = {Fedor Pakovich},
  journal= {arXiv preprint arXiv:math/0408019},
  year   = {2007}
}

Comments

27 pages, 9 figures

R2 v1 2026-07-22T17:08:23.604Z