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Focusing on singular integral equations, this work explores their distributional solutions and the rich mathematical concepts involved. These equations, characterized by singular kernels or infinite limits, have applications across various scientific fields, including potential theory, mechanics, fluid dynamics, and wave scattering. The book delves into specific types of singular integral equations, such as the Abel and Cauchy types, highlighting their significance and the underlying mathematical intricacies necessary for solving them.
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Singular Integral Equations, Ricardo Estrada, Ram P. Kanwal
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- 2012
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