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

• 来源期刊: 中国科学：数学（英文版）
• 年，卷（期）: 2017,（6）
• 页码范围: 1005-1018
• 页数: 14页
• 语种: 英文
• DOI: 10.1007/s11425-015-9029-0

摘要

We study solutions to convolution equations for functions with discrete support in Rn,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.