局部域小波的例子
Examples of wavelets for local fields
摘要：
利用作者和J.Benedetto介绍的小波理论，给出了p进域和其它具有紧开子群的局部紧阿贝尔群上的小波的例子.我们观察到，在这种情况下，哈尔和香农小波（这是在相反的极端的实数）重合，并在时间和频率本地化。我们还研究了理论中所需的平移算子的行为。
英文摘要：
Using the wavelet theory introduced by the author and J. Benedetto, we present examples of wavelets on p-adic fields and other locally compact abelian groups with compact open subgroups. We observe that in this setting, the Haar and Shannon wavelets (which are at opposite extremes over the real numbers) coincide and are localized both in time and in frequency. We also study the behavior of the translation operators required in the theory.
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