DISCRETE FOURIER TRANSFORM ASSOCIATED WITH GENERALIZED SCHUR POLYNOMIALS

被引：8

作者：

van Diejen, J. F. ^{[1
]}

Emsiz, E. ^{[2
]}

机构：

[1] Univ Talca, Inst Matemat & Fis, Casilla 747, Talca, Chile

[2] Pontificia Univ Catolica Chile, Fac Matemat, Casilla 306,Correo 22, Santiago, Chile

来源：

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 2018年 / 146卷 / 08期

关键词：

Discrete Fourier transform; discrete Laplacian; boundary perturbations; diagonalization; generalized Schur polynomials; ORTHOGONAL POLYNOMIALS; MODEL;

D O I：

10.1090/proc/14036

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We prove the Plancherel formula for a four-parameter family of discrete Fourier transforms and their multivariate generalizations stemming from corresponding generalized Schur polynomials. For special choices of the parameters, this recovers the sixteen classic discrete sine-and cosine transforms DST-1, ... , DST-8 and DCT-1, ... , DCT-8, as well as recently studied (anti) symmetric multivariate generalizations thereof.

引用

页码：3459 / 3472

页数：14

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