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A Fourier generalized convolution transform and applications to integral equations

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Abstract

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.

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Correspondence to Nguyen Xuan Thao.

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Thao, N.X., Tuan, V.K. & Hong, N.T. A Fourier generalized convolution transform and applications to integral equations. fcaa 15, 493–508 (2012). https://doi.org/10.2478/s13540-012-0035-y

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  • DOI: https://doi.org/10.2478/s13540-012-0035-y

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