DC Field | Value | Language |
---|---|---|
dc.contributor.author | Kim, Sung S. | ko |
dc.contributor.author | Kwon, Kil Hyun | ko |
dc.date.accessioned | 2013-02-25T18:17:30Z | - |
dc.date.available | 2013-02-25T18:17:30Z | - |
dc.date.created | 2012-02-06 | - |
dc.date.created | 2012-02-06 | - |
dc.date.issued | 1990-11 | - |
dc.identifier.citation | RESULTS IN MATHEMATICS, v.18, no.3-4, pp.273 - 281 | - |
dc.identifier.issn | 1422-6383 | - |
dc.identifier.uri | http://hdl.handle.net/10203/64261 | - |
dc.description.abstract | The 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.language | English | - |
dc.publisher | Birkhauser Verlag Ag | - |
dc.title | Hyperfunctional Weights for Orthogonal Polynomials | - |
dc.type | Article | - |
dc.type.rims | ART | - |
dc.citation.volume | 18 | - |
dc.citation.issue | 3-4 | - |
dc.citation.beginningpage | 273 | - |
dc.citation.endingpage | 281 | - |
dc.citation.publicationname | RESULTS IN MATHEMATICS | - |
dc.contributor.localauthor | Kwon, Kil Hyun | - |
dc.contributor.nonIdAuthor | Kim, Sung S. | - |
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