Abstract
In this chapter, the most important examples of 1-periodic convolution integral operators are presented: the Symm’s integral operator, the Hilbert and Cauchy singular integral operators, the hypersingular integral operator, and some integral operators corresponding to biharmonic equation. For the sake of completeness, the notion of the finite part of the hypersingular integral is examined in Section 5.4.
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© 2002 Springer-Verlag Berlin Heidelberg
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Saranen, J., Vainikko, G. (2002). Boundary Integral Operators in Periodic Sobolev Spaces. In: Periodic Integral and Pseudodifferential Equations with Numerical Approximation. Springer Monographs in Mathematics. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-04796-5_5
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DOI: https://doi.org/10.1007/978-3-662-04796-5_5
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-07538-4
Online ISBN: 978-3-662-04796-5
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