This paper contains a brief review of p-adic MRA theory along with the introduction of p-adic multiwavelet set. Here we have studied various properties of p-adic multiwavelet sets such as disjointness of their dilates, counting formula for the elements in a wavelet set etc. and proved some results analogous to real setting, in special cases.

中文翻译：

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p-Adic 多小波集

本文简要回顾了 p-adic MRA 理论以及 p-adic 多小波集的介绍。在这里，我们研究了 p-adic 多小波集的各种性质，例如它们的膨胀的不相交性、小波集中元素的计数公式等，并证明了一些类似于实际设置的结果，在特殊情况下。