UDC 517.9 We construct a Boehmian space of quaternion valued functions using the quaternionic fractional convolution. Applying the convolution theorem, the quaternionic fractional Fourier transform is extended to the context of Boehmians and its properties are established.

中文翻译：

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Boehmian 的四元分数傅立叶变换

UDC 517.9 我们使用四元数分数卷积构造四元数值函数的 Boehmian 空间。应用卷积定理，四元分数阶傅里叶变换被扩展到 Boehmian 的上下文，并建立了它的性质。