Loading…
The classical moment problem and generalized indefinite strings
We show that the classical Hamburger moment problem can be included in the spectral theory of generalized indefinite strings. More precisely, we introduce the class of Krein–Langer strings and show that there is a bijective correspondence between moment sequences and this class of generalized indefi...
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Default Article |
| Published: |
2018
|
| Subjects: | |
| Online Access: | https://hdl.handle.net/2134/24279829.v1 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1818165194388406272 |
|---|---|
| author | Jonathan Eckhardt Aleksey Kostenko |
| author_facet | Jonathan Eckhardt Aleksey Kostenko |
| author_sort | Jonathan Eckhardt (5731769) |
| collection | Figshare |
| description | We show that the classical Hamburger moment problem can be included in the spectral theory of generalized indefinite strings. More precisely, we introduce the class of Krein–Langer strings and show that there is a bijective correspondence between moment sequences and this class of generalized indefinite strings. This result can be viewed as a complement to the classical results of Krein on the connection between the Stieltjes moment problem and Krein–Stieltjes strings and Kac on the connection between the Hamburger moment problem and 2 × 2 canonical systems with Hamburger Hamiltonians. |
| format | Default Article |
| id | rr-article-24279829 |
| institution | Loughborough University |
| publishDate | 2018 |
| record_format | Figshare |
| spelling | rr-article-242798292018-04-10T00:00:00Z The classical moment problem and generalized indefinite strings Jonathan Eckhardt (5731769) Aleksey Kostenko (7161281) Applied mathematics Numerical and computational mathematics Pure mathematics Hamburger moment problem Generalized indefinite strings We show that the classical Hamburger moment problem can be included in the spectral theory of generalized indefinite strings. More precisely, we introduce the class of Krein–Langer strings and show that there is a bijective correspondence between moment sequences and this class of generalized indefinite strings. This result can be viewed as a complement to the classical results of Krein on the connection between the Stieltjes moment problem and Krein–Stieltjes strings and Kac on the connection between the Hamburger moment problem and 2 × 2 canonical systems with Hamburger Hamiltonians. 2018-04-10T00:00:00Z Text Journal contribution 2134/24279829.v1 https://figshare.com/articles/journal_contribution/The_classical_moment_problem_and_generalized_indefinite_strings/24279829 CC BY 4.0 |
| spellingShingle | Applied mathematics Numerical and computational mathematics Pure mathematics Hamburger moment problem Generalized indefinite strings Jonathan Eckhardt Aleksey Kostenko The classical moment problem and generalized indefinite strings |
| title | The classical moment problem and generalized indefinite strings |
| title_full | The classical moment problem and generalized indefinite strings |
| title_fullStr | The classical moment problem and generalized indefinite strings |
| title_full_unstemmed | The classical moment problem and generalized indefinite strings |
| title_short | The classical moment problem and generalized indefinite strings |
| title_sort | classical moment problem and generalized indefinite strings |
| topic | Applied mathematics Numerical and computational mathematics Pure mathematics Hamburger moment problem Generalized indefinite strings |
| url | https://hdl.handle.net/2134/24279829.v1 |