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http://hdl.handle.net/10016/6009
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| Title: | k-Coherence of measures with non-classical weights |
| Author(s): | Marcellán, Francisco Martínez-Finkelshtein, Andrei Moreno Balcázar, Juan José |
| Publisher: | Universidad de La Rioja |
| Issued date: | 2001 |
| Citation: | Margarita mathematica en memoria de José Javier (Chicho) Guadalupe Hernández (Luis Español y Juan L. Varona, eds), pp. 77-83 |
| URI: | http://hdl.handle.net/10016/6009 |
| ISBN: | 84-95301-56-3 |
| Description: | 7 pages, no figures.-- MSC2000 codes: Primary 42C05; Secondary 33C25. MR#: MR1882617 (2003b:42042) |
| Abstract: | The concept of k-coherence of two positive measures μ1 and μ2 is useful in the study of the Sobolev orthogonal polynomials. If μ1 or μ2 are compactly supported on R then any 0-coherent pair or symmetrically 1-coherent pair (μ1, μ2) must contain a Jacobi measure (up to affine transformation). Here examples of k-coherent pairs (k ≥ 1) when neither μ1 nor μ2 are Jacobi are constructed. |
| Sponsor: | Research of F. Marcellán supported by Dirección General de Investigación(Ministerio de Ciencia y Tecnología) of Spain under grant BFM2000-0206-C04-01. Research of A. Martínez-Finkelshtein partially supported by INTAS project 2000-272, a research grant of Dirección General de Enseñanza Superior (DGES) of Spain, project code PB95-1205, and by Junta de Andalucía, Grupo de Investigación FQM 0229. Research of J. J. Moreno-Balcázar partially supported by Junta de Andalucía, Grupo de Investigación FQM 0229, and INTAS project 2000-272. |
| Review: | PeerReviewed |
| Publisher version: | http://www.emis.de/proceedings/Chicho2001/ |
| Keywords: | Coherent pairs of measures Sobolev orthogonal polynomials |
| Appears in Collections: | DM - GAMA - Comunicaciones en Congresos y otros eventos
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