THE FINITE FOURIER TRANSFORM OF CLASSICAL POLYNOMIALS

被引：3
作者：
Dixit, Atul [1 ]
Jiu, Lin [1 ]
Moll, Victor H. [1 ]
Vignat, Christophe [1 ,2 ]
机构：
[1] Tulane Univ, Dept Math, New Orleans, LA 70118 USA
[2] Univ Paris 11, LSS Supelec, Orsay, France
来源：
JOURNAL OF THE AUSTRALIAN MATHEMATICAL SOCIETY | 2015年 / 98卷 / 02期
基金：
美国国家科学基金会;
关键词：
Fourier transform; orthogonal polynomials; Jacobi polynomials;
D O I：
10.1017/S1446788714000500
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
The finite Fourier transform of a family of orthogonal polynomials is the usual transform of these polynomials extended by 0 outside their natural domain of orthogonality. Explicit expressions are given for the Legendre, Jacobi, Gegenbauer and Chebyshev families.
引用
收藏
页码：145 / 160
页数：16
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