Abstract
In this chapter we will consider one-dimensional singular integral equations involving Cauchy principal values that arise from boundary value problems for holomorphic functions in the classical Hölder space setting. The investigations of these integral equations with Cauchy kernels by Gakhov, Muskhelishvili, Vekua, and others have had a great impact on the further development of the general theory of singular integral equations.
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Kress, R. (2014). Singular Boundary Integral Equations. In: Linear Integral Equations. Applied Mathematical Sciences, vol 82. Springer, New York, NY. https://doi.org/10.1007/978-1-4614-9593-2_7
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DOI: https://doi.org/10.1007/978-1-4614-9593-2_7
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