Positive Definite Measures with Discrete Fourier Transform and Pure Point Diffraction

Canadian mathematical bulletin

Nicolae Strungaru¹ 

[1] Department of Mathematical Sciences, Grant MacEwan University, Edmonton, AB, T5J 4S2

关键词: pure point diffraction;    positive definite measure;    Fourier transform of measures;   

DOI  :  10.4153/CMB-2011-059-x

学科分类：数学（综合）

来源: University of Toronto Press * Journals Division

【 摘 要 】

In this paper we characterize the positivedefinite measures with discrete Fourier transform. As anapplication we provide a characterization of pure pointdiffraction in locally compact Abelian groups.

【 授权许可】

Unknown