PUB - Publikationen an der Universität Bielefeld

Mathematical diffraction theory is concerned with the Fourier analysis of the autocorrelations of translation bounded measures on sigma-compact locally compact Abelian groups, with n-dimensional Euclidean space being the most important example. This mathematical approach provides new insight into the theory of kinematic diffraction, in particular into the distinction of pure Bragg versus diffuse scattering in X-ray diffraction. A number of unexpected properties can then be formulated and dealt with in a rigorous way.