Szegő polynomials and the truncated trigonometric moment problem

被引：0
作者：
X. Li
A. Sri Ranga
机构：
[1] University of Central Florida,Department of Mathematics
[2] State University of So Paulo (UNESP),Department of Computer Science and Statistics
来源：
The Ramanujan Journal | 2006年 / 12卷
关键词：
Szegő polynomials; Moment problem;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
We show how Szegő polynomials can be used in the theory of truncated trigonometric moment problem.
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收藏
页码：461 / 472
页数：11
相关论文
共 14 条
[1]  
Gabardo J.-P.(1993)Weighted tight frames of exponentials on a finite interval Monatsh. Math 116 197-229
[2]  
Gabardo J.-P.(1995)Tight frames of polynomials and the truncated trigonometric moment problem J. Fourier Anal. Appl 1 249-279
[3]  
González-Vera P.(1996)Some results about numerical quadrature on the unit circle Adv. Comput. Math 5 297-328
[4]  
Santos-León J.C.(1989)Moment theory, orthogonal polynomials, quadrature, and continued fractions associated with the unit circle Bull. Lond. Math. Soc 21 113-152
[5]  
Njåstad O.(1980)The classical moment problem: Hilbertian proofs J. Funct. Anal 38 255-272
[6]  
Jones W.B.(1987)Maximum entropy and the moment problem Bull. Amer. Math. Soc 16 47-77
[7]  
Njåstad O.(1994)The Riemann hypothesis for polynomials orthogonal on the unit circle Math. Nachr 166 229-258
[8]  
Thron W.J.(1997)On reproducing kernel Hilbert spaces of polynomials Math. Nachr 185 115-148
[9]  
Landau H.J.(2002)Fourier frames Ann. Math. (2) 155 789-806
[10]  
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