A study of the Hamburger moment problem on the real line
| dc.contributor.advisor | Kuhlmann, Salma | |
| dc.contributor.committeeMember | Samei, Ebrahim | |
| dc.contributor.committeeMember | Kusalik, Anthony | |
| dc.contributor.committeeMember | Bremner, Murray | |
| dc.creator | Jinadu, Ayoola Isaac 1991- | |
| dc.creator.orcid | 0000-0001-9389-5824 | |
| dc.date.accessioned | 2017-09-18T15:32:24Z | |
| dc.date.available | 2017-09-18T15:32:24Z | |
| dc.date.created | 2017-10 | |
| dc.date.issued | 2017-09-18 | |
| dc.date.submitted | October 2017 | |
| dc.date.updated | 2017-09-18T15:32:24Z | |
| dc.description.abstract | This thesis contains an exposition of the Hamburger moment problem. The Hamburger moment problem is an interesting question in analysis that deals with finding the existence of a Borel measure representing a given positive semi-definite linear functional. We begin our exposition by constructing orthogonal polynomials associated with a positive definite sequence. Then we discuss the interlacing property of the zeros of these orthogonal polynomials. We proceed by finding a solution to the truncated Hamburger moment problem and then extend the found solution to the complete Hamburger moment problem. After obtaining a solution to the Hamburger moment problem, we address the problem of determinacy of the moment problem. Finally, we discuss a result that proves the density of polynomials with complex coefficients under the assumption that the Carleman's condition is satisfied. | |
| dc.format.mimetype | application/pdf | |
| dc.identifier.uri | http://hdl.handle.net/10388/8097 | |
| dc.subject | Hamburger moment problem | |
| dc.subject | Borel measure | |
| dc.subject | positive definite sequence | |
| dc.subject | positive definite linear functionals, Hankel matrix, orthogonal polynomials | |
| dc.subject | Carleman's condition. | |
| dc.title | A study of the Hamburger moment problem on the real line | |
| dc.type | Thesis | |
| dc.type.material | text | |
| thesis.degree.department | Mathematics and Statistics | |
| thesis.degree.discipline | Mathematics | |
| thesis.degree.grantor | University of Saskatchewan | |
| thesis.degree.level | Masters | |
| thesis.degree.name | Master of Science (M.Sc.) |