Artículo
Modifications of quasi-definite linear functionals via addition of delta and derivatives of delta Dirac functions
Autor/es | Álvarez Nodarse, Renato
Arvesú Carballo, Jorge Marcellán Español, Francisco |
Departamento | Universidad de Sevilla. Departamento de Análisis Matemático |
Fecha de publicación | 2004 |
Fecha de depósito | 2016-05-31 |
Publicado en |
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Resumen | We consider the general theory of the modifications of quasi-definite linear functionals by adding discrete measures. We analyze the existence of the corresponding orthogonal polynomial sequences with respect to such linear ... We consider the general theory of the modifications of quasi-definite linear functionals by adding discrete measures. We analyze the existence of the corresponding orthogonal polynomial sequences with respect to such linear functionals. The three-term recurrence relation, lowering and raising operators as well as the second order linear differential equation that the sequences of monic orthogonal polynomials satisfy when the linear functional is semiclassical are also established. A relevant example is considered in details. |
Identificador del proyecto | BFM 2000-0206-C04
FQM-0262 info:eu-repo/grantAgreement/EC/INTAS-2000-00272 |
Cita | Álvarez Nodarse, R., Arvesú Carballo, J. y Marcellán Español, F. (2004). Modifications of quasi-definite linear functionals via addition of delta and derivatives of delta Dirac functions. Indagationes Mathematicae, 15 (1), 1-20. |
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