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Learning is but an adjunct to ourself And where we are our learning likewise is. Abstract The paper studies ways in which the sets of a partition of a lattice in R n become regular model sets. The main theorem gives equivalent conditions which assure that a matrix substitution system on a lattice in R n gives rise to regular model sets (based on p-adic-like… (More)

The paper is about methods of discrete Fourier analysis in the context of Weyl group symmetry. Three families of class functions are defined on the maximal torus of each compact simply connected semisimple Lie group G. Such functions can always be restricted without loss of information to a fundamental regioň F of the affine Weyl group. The members of each… (More)

We prove that the set of visible points of any lattice of dimension n ≥ 2 has pure point diffraction spectrum, and we determine the diffraction spectrum explicitly. This settles previous speculation on the exact nature of the diffrac-tion in this situation. Using similar methods we show the same result for the 1-dimensional set of kth-power-free integers… (More)

A linear deformation of a Meyer set M in R d is the image of M under a group homomorphism of the group [M ] generated by M into R d. We provide a necessary and sufficient condition for such a deformation to be a Meyer set. In the case that the deformation is a Meyer set and the deformation is injective, the deformation is pure point diffractive if the… (More)

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