JP Journal of Algebra, Number Theory and Applications
Volume 44, Issue 2, Pages 181 - 199
(November 2019) http://dx.doi.org/10.17654/NT044020181 |
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TRUE SPECTRUM OF A FINITE FOURIER TRANSFORM
Javier Diaz-Vargas, Lev Glebsky and Carlos Jacob Rubio-Barrios
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Abstract: In this paper, we deal with a finite abelian group G and the abstract Fourier transform Then we consider where is defined by the composition with a bijection is a pullback of j.) In particular, we show that is a permutation if and only if j is a group isomorphism. Then we study how the spectrum of depends on the isomorphism j. |
Keywords and phrases: finite abelian group, character, Fourier transform, Gauss sum, orthogonality relations, Fourier inversion.
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