Harmonic Analysis on a Galois Field and Its Subfields

被引：0
|
作者：
A. Vourdas
机构：
[1] University of Bradford,Department of Computing
来源：
Journal of Fourier Analysis and Applications | 2008年 / 14卷
关键词：
Phase space methods; Heisenberg-Weyl group; Galois fields; 81S30; 42C30; 13B05; 12F10;
D O I：
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学科分类号：
摘要：
Complex functions χ(m) where m belongs to a Galois field GF(pℓ), are considered. Fourier transforms, displacements in the GF(pℓ)×GF(pℓ) phase space and symplectic transforms of these functions are studied. It is shown that the formalism inherits many features from the theory of Galois fields. For example, Frobenius transformations and Galois groups are introduced in the present context. The relationship between harmonic analysis on GF(pℓ) and harmonic analysis on its subfields, is studied.
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页码：102 / 123
页数：21
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