Abstract.
In this paper we present the operational properties of two integral transforms of Fourier type, provide the formulation of convolutions, and obtain eight new convolutions for those transforms. Moreover, we consider applications such as the construction of normed ring structures on \(L_{1}({\mathbb{R}})\), further applications to linear partial differential equations and an integral equation with a mixed Toeplitz-Hankel kernel.
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The second named author is supported by the Central Project of Vietnam National University. The third named author is supported partially by the Vietnam National Foundation for Science and Technology Development.
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Giang, B.T., Van Mau, N. & Tuan, N.M. Operational Properties of Two Integral Transforms of Fourier Type and their Convolutions. Integr. equ. oper. theory 65, 363–386 (2009). https://doi.org/10.1007/s00020-009-1722-x
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DOI: https://doi.org/10.1007/s00020-009-1722-x