Abstract
In this chapter we continue the study of the distributional solutions of integral equations. Our aim is to present the solution of singular integral equations of the type where
, where H is the Hilbert transform
. In the previous chapter we considered the distributional solution of integral equations over finite intervals; here we conduct the analysis of the distributional Cauchy and Carleman equations over the whole real line.
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© 2000 Springer Science+Business Media New York
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Estrada, R., Kanwal, R.P. (2000). Distributional Equations on the Whole Line. In: Singular Integral Equations. Birkhäuser, Boston, MA. https://doi.org/10.1007/978-1-4612-1382-6_6
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DOI: https://doi.org/10.1007/978-1-4612-1382-6_6
Publisher Name: Birkhäuser, Boston, MA
Print ISBN: 978-1-4612-7123-9
Online ISBN: 978-1-4612-1382-6
eBook Packages: Springer Book Archive