Which Meyer sets are regular model sets? A characterization via almost periodicity

Lenz D, Richard C, Strungaru N (2026)

Publication Type: Journal article

Publication year: 2026

Journal

Journal of Functional Analysis Elsevier

Book Volume: 291

Article Number: 111495

Journal Issue: 3

DOI: 10.1016/j.jfa.2026.111495

Abstract

In 2012, Meyer introduced the notions of generalized almost periodic measure and almost periodic pattern and proved that regular model sets in Euclidean space are almost periodic patterns. Here, we prove the converse in a slightly more general setting. Specifically, we show that a Meyer set in any σ-compact locally compact abelian group is a regular model set if and only if it is an almost periodic pattern.

Authors with CRIS profile

Christoph Richard Lehrstuhl für Mathematische Stochastik

Involved external institutions

Friedrich-Schiller-Universität Jena DE Germany (DE) MacEwan University CA Canada (CA)

How to cite

APA:

Lenz, D., Richard, C., & Strungaru, N. (2026). Which Meyer sets are regular model sets? A characterization via almost periodicity. Journal of Functional Analysis, 291(3). https://doi.org/10.1016/j.jfa.2026.111495

MLA:

Lenz, Daniel, Christoph Richard, and Nicolae Strungaru. "Which Meyer sets are regular model sets? A characterization via almost periodicity." Journal of Functional Analysis 291.3 (2026).

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