Pure Point Dynamical and Diffraction Spectra

Annales Henri Poincaré - Tập 3 - Trang 1003-1018 - 2002
J.-Y. Lee1, R. V. Moody1, B. Solomyak2
1Department of Mathematical and Statistical Sciences, University of Alberta, Edmonton, Alberta T6G 2G1, Canada,¶ e-mail: [email protected]¶ e-mail: [email protected], , CA
2Department of Mathematics, University of Washington, Seattle, WA 98195, USA,¶ e-mail: [email protected], , US

Tóm tắt

We show that for multi-colored Delone point sets with finite local complexity and uniform cluster frequencies the notions of pure point diffraction and pure point dynamical spectrum are equivalent.