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

页码：145 / 160

页数：16

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