On multidimensional F. Riesz's "Rising Sun" Lemma
A.A. Korenovskyy, A.K. Lerner, A.M Stokolos
TL;DR
This paper extends the classical Riesz rising sun lemma to multiple dimensions using a generalized dyadic process, providing a broader mathematical framework.
Contribution
It introduces a multidimensional version of the Riesz rising sun lemma through a novel generalized dyadic process.
Findings
Established a multidimensional Riesz rising sun lemma
Developed a generalized dyadic process for the proof
Extended the applicability of the lemma to higher dimensions
Abstract
A multidimensional version of the Riesz rising sun lemma is proved by means of a generalized dyadic process.
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Taxonomy
Topicsadvanced mathematical theories