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Some Comments on the Inverse Problem of Pure Point Diffraction

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Aperiodic Crystals

Abstract

In a recent paper arXiv:1111.3617, Lenz and Moody presented a method for constructing families of real solutions to the inverse problem for a given pure point diffraction measure. Applying their technique and discussing some possible extensions, we present, in a non-technical manner, some examples of homometric structures.

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Acknowledgements

This work was supported by the German Research Council (DFG), via the CRC 701, and by the RCM2, at the University of Bielefeld.

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Correspondence to Venta Terauds .

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Terauds, V., Baake, M. (2013). Some Comments on the Inverse Problem of Pure Point Diffraction. In: Schmid, S., Withers, R., Lifshitz, R. (eds) Aperiodic Crystals. Springer, Dordrecht. https://doi.org/10.1007/978-94-007-6431-6_5

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