discrete fourier analysis and chebyshev polynomials with g(2) group
文献类型：期刊论文
| 作者 | Li Huiyuan ; Sun Jiachang ; Xu Yuan |
| 刊名 | SYMMETRY INTEGRABILITY AND GEOMETRY-METHODS AND APPLICATIONS
 |
| 出版日期 | 2012 |
| 卷号 | 8页码:- |
| 关键词 | discrete Fourier series trigonometric group G(2) PDE orthogonal polynomials |
| ISSN号 | 1815-0659 |
| 中文摘要 | The discrete Fourier analysis on the 30 degrees-60 degrees-90 degrees triangle is deduced from the corresponding results on the regular hexagon by considering functions invariant under the group G(2), which leads to the definition of four families generalized Chebyshev polynomials. The study of these polynomials leads to a Sturm-Liouville eigenvalue problem that contains two parameters, whose solutions are analogues of the Jacobi polynomials. Under a concept of m-degree and by introducing a new ordering among monomials, these polynomials are shown to share properties of the ordinary orthogonal polynomials. In particular, their common zeros generate cubature rules of Gauss type. |
| 英文摘要 | The discrete Fourier analysis on the 30 degrees-60 degrees-90 degrees triangle is deduced from the corresponding results on the regular hexagon by considering functions invariant under the group G(2), which leads to the definition of four families generalized Chebyshev polynomials. The study of these polynomials leads to a Sturm-Liouville eigenvalue problem that contains two parameters, whose solutions are analogues of the Jacobi polynomials. Under a concept of m-degree and by introducing a new ordering among monomials, these polynomials are shown to share properties of the ordinary orthogonal polynomials. In particular, their common zeros generate cubature rules of Gauss type. |
| 学科主题 | Physics |
| 收录类别 | SCI |
| 资助信息 | NSFC 10971212, 91130014, 60970089; NSF DMS-110 6113; Simons Foundation 209057 |
| 语种 | 英语 |
| WOS记录号 | WOS:000309390300001 |
| 公开日期 | 2013-09-17 |
| 源URL | [http://ir.iscas.ac.cn/handle/311060/15097]  |
| 专题 | 软件研究所_软件所图书馆_期刊论文 |
| 推荐引用方式 GB/T 7714 | Li Huiyuan,Sun Jiachang,Xu Yuan. discrete fourier analysis and chebyshev polynomials with g(2) group[J]. SYMMETRY INTEGRABILITY AND GEOMETRY-METHODS AND APPLICATIONS,2012,8:-. |
| APA | Li Huiyuan,Sun Jiachang,&Xu Yuan.(2012).discrete fourier analysis and chebyshev polynomials with g(2) group.SYMMETRY INTEGRABILITY AND GEOMETRY-METHODS AND APPLICATIONS,8,-. |
| MLA | Li Huiyuan,et al."discrete fourier analysis and chebyshev polynomials with g(2) group".SYMMETRY INTEGRABILITY AND GEOMETRY-METHODS AND APPLICATIONS 8(2012):-. |
入库方式： OAI收割
来源：软件研究所
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