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Distributional Transformations, Orthogonal Polynomials, and Stein Characterizations

✍ Scribed by Larry Goldstein; Gesine Reinert


Publisher
Springer US
Year
2005
Tongue
English
Weight
183 KB
Volume
18
Category
Article
ISSN
0894-9840

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Bi-orthogonality and zeros of transforme
✍ A. Iserles; S.P. NΓΈrsett πŸ“‚ Article πŸ“… 1987 πŸ› Elsevier Science 🌐 English βš– 302 KB

Let D and E be two real intervals. We consider transformations that map polynomials with zeros in D into polynomials with zeros in E. A general technique for the derivation of such transformations is presented. It is based on identifying the transformation with a parametrised distribution ~(x,/~), x