In this paper, we consider the ${\ast }_w$-product on function space $C_{a,b}[0,T]$ introduced in Chang et al. [A new approach method to obtain the $L_1$ generalized analytic Fourier–Feynman transform. Integr Transf Spec Funct. 2018;29:745–760]. We then obtain various integration formulas involving the ${\ast }_w$-product and the first variation. Finally, we have relationships between the ${\ast }_w$-product and the generalized integral transforms.

中文翻译：

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*w-product 和广义积分变换之间的关系

在本文中，我们考虑 ${＊}_{瓦}$- 功能空间产品 $C_{\mathrm{一种},乙}[0,吨]$Chang等人介绍。[一种新的获取方法${升}_1$广义解析傅里叶-费曼变换。集成传输规范功能。2018；29:745–760]。然后我们获得各种积分公式，涉及${＊}_{瓦}$-产品和第一个变体。最后，我们之间的关系${＊}_{瓦}$-product 和广义积分变换。