کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
4614776 | 1339299 | 2016 | 17 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Characterizations of Î-Volterra lattice: A symmetric orthogonal polynomials interpretation
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کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
آنالیز ریاضی
پیش نمایش صفحه اول مقاله
چکیده انگلیسی
In this paper we introduce the Î-Volterra lattice which is interpreted in terms of symmetric orthogonal polynomials. It is shown that the measure of orthogonality associated with these systems of orthogonal polynomials evolves in t like (1+x2)1âtμ(x) where μ is a given positive Borel measure. Moreover, the Î-Volterra lattice is related to the Î-Toda lattice from Miura or Bäcklund transformations. The main ingredients are orthogonal polynomials which satisfy an Appell condition with respect to the forward difference operator Î and the characterization of the point spectrum of a Jacobian operator that satisfies a Î-Volterra equation (Lax type theorem). We also provide an explicit example of solutions of Î-Volterra and Î-Toda lattices, and connect this example with the results presented in the paper.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Mathematical Analysis and Applications - Volume 433, Issue 1, 1 January 2016, Pages 243-259
Journal: Journal of Mathematical Analysis and Applications - Volume 433, Issue 1, 1 January 2016, Pages 243-259
نویسندگان
I. Area, A. Branquinho, A. Foulquié Moreno, E. Godoy,