Some classes of equations of discrete type with harmonic singular operator and convolution. (English) Zbl 1410.44003
Summary: In this paper, we study four classes of discrete type equations with harmonic singular operator and convolution. Such equations are turned into boundary value problems for analytic function with discontinuous coefficients by discrete Fourier transform. The general solutions and the conditions of solvability are obtained in class \(h\) by our method. Thus, this paper generalizes the theory of classical equations of convolution type.
MSC:
| 44A15 | Special integral transforms (Legendre, Hilbert, etc.) |
| 30E25 | Boundary value problems in the complex plane |
| 44A35 | Convolution as an integral transform |
| 44A55 | Discrete operational calculus |
Keywords:
equations of convolution type; harmonic singular operator; Fourier transform; Clifford analysisReferences:
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