Two classes of linear equations of discrete convolution type with harmonic singular operators |
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| Authors: | Pingrun Li |
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| Institution: | 1. School of Mathematical Sciences, Qufu Normal University, Qufu, 273165China.;2. School of Mathematical Sciences, University of Science and Technology of China, Hefei, 230026China. |
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| Abstract: | In this paper, we investigate two classes of linear equations of discrete convolution type with harmonic singular operator. Using the Laurent transform theory, we turn the above linear equations into Riemann boundary value problems. Then, the solutions of the equations are obtained in the class of Hölder continuous functions. |
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| Keywords: | harmonic singular operator equations of convolution type Riemann boundary value problems Laurent transform |
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