Domains of holomorphy for Fourier transforms of solutions to discrete convolution equations  

作　　者：KISELMAN Christer O. 

机构地区：[1]Department of Information Technology, Uppsala University, Uppsala SE-751 05, Sweden

出　　处：《Science China Mathematics》2017年第6期1005-1018,共14页中国科学：数学（英文版）

摘　　要：We study solutions to convolution equations for functions with discrete support in R^n, a special case being functions with support in the integer points. The Fourier transform of a solution can be extended to a holomorphic function in some domains in C^n, and we determine possible domains in terms of the properties of the convolution operator.We study solutions to convolution equations for functions with discrete support in R^n, a special case being functions with support in the integer points. The Fourier transform of a solution can be extended to a holomorphic function in some domains in Cn, and we determine possible domains in terms of the properties of the convolution operator.

关 键 词：discrete convolution domain of holomorphy Fourier transformation 

分 类 号：O241.8[理学—计算数学]