Abstract

In this article, we establish theory of Parseval framelets associated to generalized multiresolution analysis (GMRA) in the setting of reducing subspace for the local field of positive characteristics (LFPC). We develop the unitary extension principle for Parseval framelets associated to GMRA on LFPC. The procedure for the construction of Parseval framelets is also established. An example is also provided at the end.

中文翻译：

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具有正特征的局部场上与GMRA关联的Parseval小框架的构建

摘要

在本文中，我们建立了与正则特征局部场（LFPC）的子空间约简设置中与广义多分辨率分析（GMRA）相关的Parseval小框架的理论。我们为与LFPC上的GMRA相关的Parseval小框架开发了统一的扩展原理。还建立了Parseval小框架的构建过程。最后还提供了一个示例。