On the raising and lowering difference operators for eigenvectors of the finite Fourier transform

30th International Colloquium on Group Theoretical Methods in Physics

Atakishiyeva, M.K.^1 ; Atakishiyev, N.M.^2

Facultad de Ciencias Universidad Autonoma, Estado de Morelos 62250 Cuernavaca, Morelos, Mexico^1

Instituto de Matematicas, Unidad Cuernavaca Universidad Nacional Autonoma de Mexico 62210 Cuernavaca, Morelos, Mexico^2

关键词: Algebraic properties;    Difference operators;    Explicit form;    Finite Fourier transform;   

Others  :  https://iopscience.iop.org/article/10.1088/1742-6596/597/1/012012/pdf
DOI  :  10.1088/1742-6596/597/1/012012

来源: IOP

【 摘 要 】

We construct explicit forms of raising and lowering difference operators that govern eigenvectors of the finite (discrete) Fourier transform. Some of the algebraic properties of these operators are also examined.