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The inverse problem of pure point diffraction-examples and open questions
This paper considers some open questions related to the inverse problem of pure point diffraction, in particular, what types of objects may diffract, and which of these may exhibit the same diffraction. Some diverse objects with the same simple lattice diffraction are constructed, including a tempered distribution that is not a measure, and it is shown that there are uncountably many such objects in the diffraction solution class of any pure point diffraction measure with an infinite supporting set.
History
Publication title
Journal of Statistical PhysicsVolume
152Issue
5Pagination
954-968ISSN
0022-4715Department/School
School of Natural SciencesPublisher
Kluwer Academic/Plenum PublPlace of publication
233 Spring St, New York, USA, Ny, 10013Rights statement
Copyright 2013 SpringerRepository Status
- Restricted