Some Comments on the Inverse Problem of Pure Point Diffraction
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.
KeywordsPoint Process Diffraction Measure Compact Abelian Group Pure Point Lower Path
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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