Work

Tilings, sub-tilings, and spectral sets on p -adic space

Year: 2025

Type: article

Abstract: In this article, we provide a characterization of tilings, sub-tilings, and spectral sets on the p p -adic space Q p d {{\mathbb{Q}}}_{p}^{d} . Our methods are based on p p -adic distributions and p p -adic Fourier analysis. We also obtained a sufficient condition and a necessary condition on tiling of functions by translation on Q p d {{\mathbb{Q}}}_{p}^{d} .

Source: Open Mathematics

DOI: 10.1515/math-2025-0164

Author: Mamateli Kadir

Institution: Kashi University

Language: English

Topic: Mathematical Analysis and Transform Methods

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: gold

Estimated APC paid: $1,187

Funders: National Natural Science Foundation of China, Central China Normal University