On the self-fractional Fourier functions

被引：12

作者：

Alieva, T ^{[1
]}

机构：

[1] MINTZ RADIOTECH INST,MOSCOW,RUSSIA

来源：

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL | 1996年 / 29卷 / 15期

关键词：

D O I：

10.1088/0305-4470/29/15/002

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

It is shown that a self-fractional Fourier function for an angle 2 pi N/M, where N and M are indivisible integers (N < M), is also a self-fractional Fourier function for angles 2 pi j/M (j = 1, 2,...). This allows us to define a self-fractional Fourier function of order M. An eigenvalue of a fractional Fourier operator for angle 2 pi j/M is equal to exp(+/-i2 pi Lj/M), where L is an integer.

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收藏

页码：L377 / L379

页数：3

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