Hyperfunctional Weights for Orthogonal Polynomials

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dc.contributor.authorKim, Sung S.ko
dc.contributor.authorKwon, Kil Hyunko
dc.date.accessioned2013-02-25T18:17:30Z-
dc.date.available2013-02-25T18:17:30Z-
dc.date.created2012-02-06-
dc.date.created2012-02-06-
dc.date.issued1990-11-
dc.identifier.citationRESULTS IN MATHEMATICS, v.18, no.3-4, pp.273 - 281-
dc.identifier.issn1422-6383-
dc.identifier.urihttp://hdl.handle.net/10203/64261-
dc.description.abstractThe Chebychev polynomials associated to any given moments μn ∞ 0 are formally orthogonal with respect to the formal δ-series w(x)=∑ 0 ∞ (−1) n μ n δ (n) (x)/n!. We show that this formal weight can be a true hyperfunctional weight if its Fourier transform is a slowly increasing holomorphic function in some tubular neighborhood of the real line. It provides a unifying treatment of real and complex orthogonality of Chebychev polynomials including all classical examples and characterizes Chebychev polynomials having Bessel type orthogonality.-
dc.languageEnglish-
dc.publisherBirkhauser Verlag Ag-
dc.titleHyperfunctional Weights for Orthogonal Polynomials-
dc.typeArticle-
dc.type.rimsART-
dc.citation.volume18-
dc.citation.issue3-4-
dc.citation.beginningpage273-
dc.citation.endingpage281-
dc.citation.publicationnameRESULTS IN MATHEMATICS-
dc.contributor.localauthorKwon, Kil Hyun-
dc.contributor.nonIdAuthorKim, Sung S.-
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MA-Journal Papers(저널논문)
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