The asymptotic behaviour of the Fourier transforms of orthogonal polynomials II: LIFS measures and quantum mechanics

被引：11
|
作者：
Mantica, Giorgio
Guzzetti, Davide
机构：
[1] Univ Insubria, Ctr Nonlinear & Complex Syst, I-22100 Como, Italy
[2] CNISM, Como, Italy
[3] Ist Nazl Fis Nucl, Sez Como, Como, Italy
[4] Kyoto Univ, Math Sci Res Inst, Sakyo Ku, Kyoto 6068502, Japan
来源：
ANNALES HENRI POINCARE | 2007年 / 8卷 / 02期
关键词：
D O I：
10.1007/s00023-006-0309-1
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
We study measures generated by systems of linear iterated functions, their Fourier transforms, and those of their orthogonal polynomials. We characterize the asymptotic behaviours of their discrete and continuous averages. Further related quantities are analyzed, and relevance of this analysis to quantum mechanics is briefly discussed.
引用
收藏
页码：301 / 336
页数：36
相关论文
共 50 条
12345