Deforming Meyer sets

A linear deformation of a Meyer set M in Rd is the image of M under a group homomorphism of the group [M] generated by M into Rd . 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 orginal set M is pure point diffractive. AMS Classification Codes 52C23 51P05

• Type: Journal
• Year: 2008
• Where: EJC
• Authors: Jeong-Yup Lee, Robert V. Moody
• Keywords: EJC 2007, EJC 2008, Group Homomorphism, Information Technology, Linear Deformation, Pure Point