Parseval-Rayleigh identities for graded Artinian Gorenstein algebras
Fuente:
arXiv
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| Format: | Preprint |
| Published: |
2026
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| _version_ | 1866910179949281280 |
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| author | Pochekai, Mykola |
| author_facet | Pochekai, Mykola |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2604_27631 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Parseval-Rayleigh identities for graded Artinian Gorenstein algebras Pochekai, Mykola Commutative Algebra Primary 13H10, Secondary 13D02, 13A35, 05E40 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. |
| title | Parseval-Rayleigh identities for graded Artinian Gorenstein algebras |
| topic | Commutative Algebra Primary 13H10, Secondary 13D02, 13A35, 05E40 |
| url | https://arxiv.org/abs/2604.27631 |