RT Conference Proceedings
T1 k-Coherence of measures with non-classical weights
A1 Marcellán Español, Francisco José
A1 Martínez-Finkelshtein, Andrei
A1 Moreno Balcázar, Juan José
AB 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-coherentpair (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.
PB Universidad de La Rioja
SN 84-95301-56-3
YR 2001
FD 2001
LK https://hdl.handle.net/10016/6009
UL https://hdl.handle.net/10016/6009
LA eng
NO 7 pages, no figures.-- MSC2000 codes: Primary 42C05; Secondary 33C25.
NO MR#: MR1882617 (2003b:42042)
NO 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.
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