An Integral Identity Relating Diamond and Square Domains

arXiv (Cornell University) 2026 Preprint Open access

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Authors: Agustín Domínguez-Cruz
DOI: 10.48550/arxiv.2601.10764
Cited by: 0

Abstract

We establish an integral identity for functions on R^2 that are invariant under discrete diagonal translations. The identity shows that integration over the diamond-shaped region |x| + |y|

Fields of Study & Subjects

Mathematical Analysis and Transform Methods Mathematics and Applications Mathematical and Computational Methods

Publication details

Journal / source
arXiv (Cornell University)
Publication date
14 January 2026
Document type
Preprint