Parseval-type identities for Gowers uniformity norms in finite abelian groups
Combinatorics
2025-08-13 v1
Abstract
Orthogonality relations for cubes of characters in Gowers inner products lead to Parseval-type identities and isometries for suitably generalized Gowers uniformity norms .
Cite
@article{arxiv.2508.08968,
title = {Parseval-type identities for Gowers uniformity norms in finite abelian groups},
author = {Martin Niepel},
journal= {arXiv preprint arXiv:2508.08968},
year = {2025}
}
Comments
22 pages