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The inverse problem of pure point diffraction-examples and open questions

Citation

Terauds, V, The inverse problem of pure point diffraction-examples and open questions, Journal of Statistical Physics, 152, (5) pp. 954-968. ISSN 0022-4715 (2013) [Refereed Article]

Copyright Statement

Copyright 2013 Springer

DOI: doi:10.1007/s10955-013-0790-0

Abstract

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.

Item Details

Item Type:Refereed Article
Keywords:diffraction inverse problem, diffraction, spectral theory
Research Division:Mathematical Sciences
Research Group:Pure Mathematics
Research Field:Mathematical Logic, Set Theory, Lattices and Universal Algebra
Objective Division:Expanding Knowledge
Objective Group:Expanding Knowledge
Objective Field:Expanding Knowledge in the Mathematical Sciences
Author:Terauds, V (Dr Venta Terauds)
ID Code:88669
Year Published:2013
Web of Science® Times Cited:5
Deposited By:Mathematics and Physics
Deposited On:2014-02-12
Last Modified:2017-10-30
Downloads:0

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