Supercharacters and the discrete Fourier, cosine, and sine transforms
Functional Analysis
2021-02-05 v3
Abstract
Using supercharacter theory, we identify the matrices that are diagonalized by the discrete cosine and discrete sine transforms, respectively. Our method affords a combinatorial interpretation for the matrix entries.
Keywords
Cite
@article{arxiv.1702.02689,
title = {Supercharacters and the discrete Fourier, cosine, and sine transforms},
author = {Stephan Ramon Garcia and Samuel Yih},
journal= {arXiv preprint arXiv:1702.02689},
year = {2021}
}
Comments
21 pages; to appear in Communications in Algebra