2022/01/08 by Michel Alexis, Eric T. Sawyer, Alexis, Michel +3
Materials Science · Mathematics · #Classical Analysis and ODEs (math.CA) #FOS: Mathematics #Mathematical Analysis and Transform Methods #Mathematical Approximation and Integration #Quasicrystal Structures and Properties
paper · pdf · doi:10.48550/arxiv.2201.02897
openalex publication_date 2022/01/08 · openalex created_date 2022/05/05 · openalex updated_date 2026/07/28
We extend the notion of a dyadic grid of cubes in Euclidean space to include infinite dyadic cubes. These `tops' of a dyadic grid form a tiling of Euclidean space which is subject to the constraints similar to those arising in tiling Euclidean space by (finite) unit cubes. These tops arise in the theory of two weight norm inequalities through weighted Haar and Alpert wavelets.