Perturbations of laguerre-hahn class linear functionals by dirac delta derivatives
We analyze perturbations of linear functionals (both on the real line and on the unit circle) that belong to the Laguerre-Hahn class. In particular, we obtain an expression for the Stieltjes and Caratheodory functions associated with the perturbed functionals, and we show that the Laguerre-Hahn clas...
- Autores:
-
Dueñas, Herbert
Garza, Luis
- Tipo de recurso:
- Article of journal
- Fecha de publicación:
- 2012
- Institución:
- Universidad Nacional de Colombia
- Repositorio:
- Universidad Nacional de Colombia
- Idioma:
- spa
- OAI Identifier:
- oai:repositorio.unal.edu.co:unal/73807
- Acceso en línea:
- https://repositorio.unal.edu.co/handle/unal/73807
http://bdigital.unal.edu.co/38284/
- Palabra clave:
- linear functionals
Laguerre-Hahn class
Stieltjes functions
Carath
- Rights
- openAccess
- License
- Atribución-NoComercial 4.0 Internacional
| Summary: | We analyze perturbations of linear functionals (both on the real line and on the unit circle) that belong to the Laguerre-Hahn class. In particular, we obtain an expression for the Stieltjes and Caratheodory functions associated with the perturbed functionals, and we show that the Laguerre-Hahn class is preserved. We also discuss the invariance of the class under the Szegö transformation. |
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