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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 |
| UTAS Author: | Terauds, V (Dr Venta Terauds) |
| ID Code: | 88669 |
| Year Published: | 2013 |
| Web of Science® Times Cited: | 7 |
| Deposited By: | Mathematics and Physics |
| Deposited On: | 2014-02-12 |
| Last Modified: | 2017-10-30 |
| Downloads: | 0 |
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