Singular Integral Equations

Stephen M. Zemyan
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Stephen M. Zemyan: Pennsylvania State University Mont Alto, Department of Mathematics

Chapter Chapter 7 in The Classical Theory of Integral Equations, 2012, pp 243-285 from Springer

Abstract: Abstract The theory introduced in previous chapters, especially the Fredholm Theory, was presented under the restrictive assumptions that the kernel was continuous on its domain of definition and that the interval of integration was finite. There is no guarantee that those results or similar ones will hold if the kernel has an infinite discontinuity or if the interval of integration is infinite.

Keywords: Singular Integral Equation; Inverse Fourier Transform; Singular Kernel; Symmetric Limit; Infinite Strip (search for similar items in EconPapers)
Date: 2012
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DOI: 10.1007/978-0-8176-8349-8_7

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