Abstract: The error estimate for continuous singular integral and the discrete ones in multi-dimensional space is obtained. The use of fast Fourier transform for finding approximate solutions for equations with such operators is suggested.
Keywords: Calderon-Zygmund kernel, symbol, discrete singular integral operator, approximate solution, fast Fourier transform
For citation: Vasil'ev A. V., Vasil'ev V. B. Approximate solutions for multi-dimensional singular integral equations and fast algorithms for their solving. Vladikavkazskii matematicheskii zhurnal [Vladikavkaz Math. J.], vol.
16, no. 1, pp.3-11.
DOI 10.23671/VNC.2014.1.7417
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