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On a generalized convolution with a weight-function for the Hartley and Fourier cosine transforms

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Abstract

In this paper, we introduce a generalized convolution with a weight-function for the Hartley and Fourier cosine transforms. Several algebraic properties and applications of this generalized convolution to solving a class of integral equations of Toeplitz plus Hankel type and a class of systems of integral equations are presented.

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Acknowledgements

This research was funded by Vietnam’s National Foundation for Science and Technology Development (NAFOSTED).

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Authors and Affiliations

  1. Department of Mathematics, Electric Power University, 235 Hoang Quoc Viet, Cau Giay, Hanoi, Vietnam

    Nguyen Minh Khoa

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  1. Nguyen Minh Khoa
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Correspondence to Nguyen Minh Khoa.

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Khoa, N.M. On a generalized convolution with a weight-function for the Hartley and Fourier cosine transforms. Acta Math Vietnam. 39, 263–276 (2014). https://doi.org/10.1007/s40306-014-0055-2

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  • DOI: https://doi.org/10.1007/s40306-014-0055-2

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