CRYSTALLINE MEASURES IN TWO DIMENSIONS

Yves Meyer

doi:10.5565/PUBLMAT6712310

Abstract

Some crystalline measures supported by a Delone set $\Lambda\subset {\mathbb R}^2$ are constructed in this note. This gives a new proof of a remarkable theorem by Pavel Kurasov and Peter Sarnak.

Acknowledgments

The author is grateful to the anonymous referees for many stimulating remarks. This work was supported by a grant from the Simons Foundation (601950, YM).

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Yves Meyer. "CRYSTALLINE MEASURES IN TWO DIMENSIONS." Publ. Mat. 67 (1) 469 - 480, 2023. https://doi.org/10.5565/PUBLMAT6712310

Information

Received: 16 March 2021; Accepted: 7 July 2021; Published: 2023

First available in Project Euclid: 19 December 2022

MathSciNet: MR4522939

zbMATH: 07658542

Digital Object Identifier: 10.5565/PUBLMAT6712310

Subjects:

Primary: 42A32

Secondary: 43A46

Keywords: crystalline measure , Fourier transform

Abstract

Acknowledgments

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