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Pure point diffraction and Poisson summation. (arXiv:1512.00912v3 [math-ph] UPDATED)
来源于:arXiv
We prove that the diffraction formula for regular model sets is equivalent to
the Poisson Summation Formula for the underlying lattice. This is achieved
using Fourier analysis of unbounded measures on locally compact abelian groups
as developed by Argabright and de Lamadrid. We also obtain diffraction results
for certain classes of non-regular so-called weak model sets. 查看全文>>