Loading...
Please wait, while we are loading the content...
Similar Documents
Orthogonal Laurent Polynomials on the Real Line
| Content Provider | Scilit |
|---|---|
| Author | Cochran, Lyle Cooper, S. Clement |
| Copyright Year | 2020 |
| Description | A new area of mathematics was opened in 1980 through a paper entitled A Strong Stieltjes Moment Problem, written by William B. Jones, W. J. Thron and Haakon Waadeland. The study led to a strong moment problem in which orthogonal Laurent polynomials (L-polynomials) made their appearance [6]. The theory has developed rapidly and already there have been two survey articles[5,10], but the authors felt it was time for another. The approach adopted here roughly parallels that used in T. S. Chihara's Introduction to Orthogonal Polynomials [1] and, as such, is different from that appearing in the other articles. The main intent of this paper is to provide a comprehensive summary of the fundamental results concerning orthogonal Laurent polynomials. One hope is that it will serve as an introduction for nonspecialists, and in that spirit, proofs are provided for all of the results. On the other hand, new results of varying degrees of importance do appear throughout, as well as some new proofs of known results, so the hope is that fellow researchers in this field also will find something of interest in the article. Book Name: Continued fractions and orthogonal functions |
| Related Links | https://content.taylorfrancis.com/books/download?dac=C2006-0-16181-4&isbn=9781003072591&format=googlePreviewPdf |
| DOI | 10.1201/9781003072591-3 |
| Language | English |
| Publisher | Informa UK Limited |
| Publisher Date | 2020-12-17 |
| Access Restriction | Open |
| Subject Keyword | Book Name: Continued Fractions and Orthogonal Functions History and Philosophy of Science Orthogonal Laurent Polynomials Survey Introduction Appear |
| Content Type | Text |
| Resource Type | Chapter |
