由一个小波函数生成的$L^2(\mathbb{Q}_2^2)$的Haar基
Haar bases for $L^2(\mathbb{Q}_2^2)$ generated by one wavelet function
摘要：
在~ \cite{KS10}中引入并研究了$p$ -adic quincunx Haar MRA的概念.与实际情况相反，无穷多个不同的小波基产生的$p$ -进MRA。我们给出了一个明确的描述对应的梅花形Haar MRA的所有小波函数。每一个生成一个正交基，其中之一是在~ \cite{KS10}。还发现了梅花形Haar基与二维可分Haar MRA之间的联系。
英文摘要：
The concept of $p$-adic quincunx Haar MRA was introduced and studied in~\cite{KS10}. In contrast to the real setting, infinitely many different wavelet bases are generated by a $p$-adic MRA. We give an explicit description for all wavelet functions corresponding to the quincunx Haar MRA. Each one generates an orthogonal basis, one of them was presented in~\cite{KS10}. A connection between quincunx Haar bases and two-dimensional separable Haar MRA is also found.
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