Result: On polynomials orthogonal to all powers of a given polynomial on a segment
Title:
On polynomials orthogonal to all powers of a given polynomial on a segment
Authors:
Source:
Bulletin des Sciences Mathématiques. 129:749-774
Publication Status:
Preprint
Publisher Information:
Elsevier BV, 2005.
Publication Year:
2005
Subject Terms:
Moments, Algebraic functions, Mathematics(all), Cauchy type integrals, Mathematics - Complex Variables, Cauchy-type intergrals, Theory of limit cycles of polynomial and analytic vector fields (existence, uniqueness, bounds, Hilbert's 16th problem and ramifications) for ordinary differential equations, Polynomials, 01 natural sciences, polynomial moment problem, Galois groups, orthogonality, Mathematics - Classical Analysis and ODEs, Polynomials and rational functions of one complex variable, algebraic functions, Center problem, Classical Analysis and ODEs (math.CA), FOS: Mathematics, Cacti, Orthogonality, Complex Variables (math.CV), 0101 mathematics, Integration, integrals of Cauchy type, integral representations of analytic functions in the complex plane
Document Type:
Academic journal
Article
File Description:
application/xml
Language:
English
ISSN:
0007-4497
DOI:
10.1016/j.bulsci.2005.06.001
DOI:
10.48550/arxiv.math/0408019
Access URL:
http://arxiv.org/abs/math/0408019
https://zbmath.org/2244532
https://doi.org/10.1016/j.bulsci.2005.06.001
https://core.ac.uk/display/45696211
https://www.sciencedirect.com/science/article/pii/S000744970500059X
https://www.math.bgu.ac.il/~pakovich/Publications/bullfin.pdf
https://www.sciencedirect.com/science/article/abs/pii/S000744970500059X
http://www.math.bgu.ac.il/~pakovich/Publications/bullfin.pdf
https://pure.mpg.de/pubman/faces/ViewItemOverviewPage.jsp?itemId=item_3124371
https://zbmath.org/2244532
https://doi.org/10.1016/j.bulsci.2005.06.001
https://core.ac.uk/display/45696211
https://www.sciencedirect.com/science/article/pii/S000744970500059X
https://www.math.bgu.ac.il/~pakovich/Publications/bullfin.pdf
https://www.sciencedirect.com/science/article/abs/pii/S000744970500059X
http://www.math.bgu.ac.il/~pakovich/Publications/bullfin.pdf
https://pure.mpg.de/pubman/faces/ViewItemOverviewPage.jsp?itemId=item_3124371
Rights:
Elsevier Non-Commercial
arXiv Non-Exclusive Distribution
arXiv Non-Exclusive Distribution
Accession Number:
edsair.doi.dedup.....a8786f7f8076e5e01f15e2b00f588aed
Database:
OpenAIRE
Further Information
In this paper we investigate the following "polynomial moment problem": for a complex polynomial $P(z)$ and distinct complex numbers $a,b$ to describe polynomials $q(z)$ orthogonal to all integer non-negative powers of $P(z)$ on the segment $[a,b].$
27 pages, 9 figures