局部紧的Abel群上的平移框架和框架谱集

Translation Frames and Frame Spectral Sets on Locally Compact Abel Groups

设G是一个局部紧的Abel群,集合Ω■G是具有正有限Haar测度的Borel集.研究了G上的Paley-Wiener空间PWΩ(G)的平移框架和集合Ω上的平方Haar可积函数空间L2(Ω)的Fourier框架之间的关系.

Let G be a locally compact Able group,andΩ■G be a Borel set of finite positive Haar measure.In this paper,we study the relationships between the translation frames on PWΩ(G)and the Fourier frame on the square Haar integrable function space L2(Ω)on the setΩ.