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arXiv · 2604.27631

Parseval-Rayleigh identities for graded Artinian Gorenstein algebras

Mykola Pochekai
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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.

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Mykola Pochekai. 2026-04-30. Parseval-Rayleigh identities for graded Artinian Gorenstein algebras. https://arxiv.org/abs/2604.27631

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