Operational Properties of Two Integral Transforms of Fourier Type and their Convolutions |
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| Authors: | Bui Thi Giang Nguyen Van Mau Nguyen Minh Tuan |
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| Institution: | 1. Department of Basic Science, Institute of Cryptography Science, 141 Chien Thang Str., Thanh Tri Dist., Hanoi, Vietnam
2. Department of Mathematical Analysis, University of Hanoi, 334 Nguyen Trai Str., Hanoi, Vietnam
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| 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
L1(\mathbbR)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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