Parseval-Rayleigh identities for graded Artinian Gorenstein algebras
Commutative Algebra
2026-05-01 v1
Abstract
We formulate and prove Parseval-Rayleigh identities for graded Artinian Gorenstein algebras over fields of positive characteristic. Specializing the general result, we provide an alternative proof of the Parseval-Rayleigh identities of generic Artinian reductions of Stanley-Reisner rings of oriented simplicial spheres.
Keywords
Cite
@article{arxiv.2604.27631,
title = {Parseval-Rayleigh identities for graded Artinian Gorenstein algebras},
author = {Mykola Pochekai},
journal= {arXiv preprint arXiv:2604.27631},
year = {2026}
}