In the present paper, we construct a Fourier Chébli-Trimèche transformable Boehmian space by proving all the required auxiliary results. Further, we extend the Fourier Chébli-Trimèche transform on these Boehmian spaces consistently and discuss their properties like linearity, injectivity, convolution theorem and continuity with respect to \(\delta \)-convergence and \(\Delta \)-convergence are obtained.

中文翻译：

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波希米亚人的傅里叶Chébli-Trimèche变换

在本文中，我们通过证明所有所需的辅助结果，构造了一个FourierChébli-Trimèche可变换的Boehmian空间。此外，我们在这些Boehmian空间上一致地扩展了FourierChébli-Trimèche变换，并讨论了它们的性质，如线性，内射性，卷积定理和关于\（\ delta \）-收敛和\（\ Delta \）-收敛的连续性。