کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
4607301 | 1631438 | 2013 | 19 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
On the relation between Darboux transformations and polynomial mappings
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کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
آنالیز ریاضی
پیش نمایش صفحه اول مقاله
![عکس صفحه اول مقاله: On the relation between Darboux transformations and polynomial mappings On the relation between Darboux transformations and polynomial mappings](/preview/png/4607301.png)
چکیده انگلیسی
Let dμdμ be a probability measure on [0,+∞)[0,+∞) such that its moments are finite. Then the Cauchy–Stieltjes transform SS of dμdμ is a Stieltjes function, which admits an expansion into a Stieltjes continued fraction. In the present paper, we consider a matrix interpretation of the unwrapping transformation S(λ)↦λS(λ2)S(λ)↦λS(λ2), which is intimately related to the simplest case of polynomial mappings. More precisely, it is shown that this transformation is essentially a Darboux transformation of the underlying Jacobi matrix. Moreover, in this scheme, the Chihara construction of solutions to the Carlitz problem appears as a shifted Darboux transformation.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Approximation Theory - Volume 172, August 2013, Pages 4–22
Journal: Journal of Approximation Theory - Volume 172, August 2013, Pages 4–22
نویسندگان
Maxim Derevyagin,