On rational transformations of linear functionals:: direct problem

被引：18
|
作者：
Alfaro, M
Marcellán, F
Peña, A
Rezola, ML
机构：
[1] Univ Carlos III Madrid, Dept Matemat, Leganes 28911, Spain
[2] Univ Zaragoza, Dept Matemat, E-50009 Zaragoza, Spain
来源：
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2004年 / 298卷 / 01期
关键词：
orthogonal polynomials; recurrence relations; spectral transformations; linear functionals;
D O I：
10.1016/j.jmaa.2004.04.065
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Let u be a quasi-definite linear functional. We find necessary and sufficient conditions in order to the linear functional upsilon satisfying (x - (a) over tilde )u = lambda(x - a)upsilon be a quasi-definite one. Also we analyze some linear relations linking the polynomials orthogonal with respect to u and v. (C) 2004 Elsevier Inc. All rights reserved.
引用
收藏
页码：171 / 183
页数：13
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