A Fourier generalized convolution transform and applications to integral equations

作者：Nguyen Xuan Thao^*; Vu Kim Tuan; Nguyen Thanh Hong

来源：Journal of Fractional Calculus and Applied Analysis, 2012, 15(3): 493-508.

DOI：10.2478/s13540-012-0035-y

• convolution
• Holder inequality
• Hausdorff-Young inequality
• Fourier transform
• Fourier sine transform
• Fourier cosine transform
• integral equation
• Watson theorem

We introduce an integral transform related to a Fourier sine-Fourier - Fourier cosine generalized convolution and prove a Watson type theorem for the transform. As applications we obtain solutions of some integral equations in closed form.

• 出版日期2012-9