Sharp Mei's lemma with different bases
Theresa C. Anderson, Bingyang Hu
TL;DR
This paper proves a sharp version of Mei's Lemma for dyadic grids with different bases and classifies all adjacent systems, linking the proofs to number-theoretic properties.
Contribution
It introduces a sharp Mei's Lemma for dyadic systems with varying bases and characterizes all possible adjacent systems, expanding understanding of dyadic grid structures.
Findings
Established a sharp Mei's Lemma for different bases
Classified all adjacent general dyadic systems with different bases
Connected proofs to number-theoretic properties
Abstract
In this paper, we prove a sharp Mei's Lemma with assuming the bases of the underlying general dyadic grids are different. As a byproduct, we specify all the possible cases of adjacent general dyadic systems with different bases. The proofs have connections with certain number-theoretic properties.
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Taxonomy
TopicsAdvanced Harmonic Analysis Research · Holomorphic and Operator Theory · Geometric and Algebraic Topology