In this paper, we discuss the wavelet transform on the space of ultradistributions of compact support. The Paley–Wiener–Schwartz type theorem for the wavelet transform of both test function and ultradistribution are obtained.

中文翻译：

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超分布小波变换的Paley–Wiener–Schwartz型定理

在本文中，我们讨论了紧支撑超分布空间的小波变换。获得了测试函数和超分布的小波变换的Paley-Wiener-Schwartz型定理。