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On rational transformations of linear functionals: direct problem

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URI: http://hdl.handle.net/10016/5965
ISSN: 0022-247X
DOI: 10.1016/j.jmaa.2004.04.065
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2004-10-01
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Elsevier
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Abstract
Let u be a quasi-definite linear functional. We find necessary and sufficient conditions in order to the linear functional v satisfying $(x-\tilde{a})u=\lambda(x-a)v$ be a quasi-definite one. Also we analyze some linear relations linking the polynomials orthogonal with respect to u and v.
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13 pages, no figures.-- MSC2000 codes: 33C47, 42C05.
MR#: MR2086540 (2005f:42051)
Zbl#: Zbl 1066.33008
Keywords
Orthogonal polynomials, Recurrence relations, Spectral transformations, Linear functionals
Bibliographic citation
Journal of Mathematical Analysis and Applications, 2004, vol. 298, n. 1, p. 171-183
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DM - GAMA - Artículos de Revistas