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k-Coherence of measures with non-classical weights

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URI: https://hdl.handle.net/10016/6009
ISBN: 84-95301-56-3
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marcellan_coherence_margarita_mathematica_2001.pdf (127.74 KB)
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2001
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Universidad de La Rioja
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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.
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7 pages, no figures.-- MSC2000 codes: Primary 42C05; Secondary 33C25.
MR#: MR1882617 (2003b:42042)
Keywords
Coherent pairs of measures, Sobolev orthogonal polynomials
Bibliographic citation
Margarita mathematica en memoria de José Javier (Chicho) Guadalupe Hernández (Luis Español y Juan L. Varona, eds), pp. 77-83
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