A Glimpse at Mathematical Diffraction Theory

Details A Glimpse at Mathematical Diffraction Theory A Glimpse at Mathematical Diffraction Theory

2002-03-05

arxiv.org/abs/math-ph/0203006v1

Physics

Mathematical Physics

6 pages; Invited talk at QTS2, Krakow, July 2001; World Scientific proceedings LaTeX style

Scientific paper

Mathematical diffraction theory is concerned with the analysis of the diffraction measure of a translation bounded complex measure $\omega$. It emerges as the Fourier transform of the autocorrelation measure of $\omega$. The mathematically rigorous approach has produced a number of interesting results in the context of perfect and random systems, some of which are summarized here.

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