NDLI: The Carleman Type Singular Integral Equations

Content Provider	Society for Industrial and Applied Mathematics (SIAM)
Author	Estrada, R. Kanwal, R. P.
Copyright Year	1987
Abstract	We present a consolidated account of Carleman type singular integral equations. We have started from the most basic equation of this type and have at first attempted to integrate from the existing literature the progress which has been made so far in this field. Many different techniques are presented to solve these types of integral equations both in the real and the complex domains. In the complex domain both closed and open contours for integrals are considered. In the process of this study we find that many known methods need to be polished and extended. We attempt to accomplish this and then interrelate different concepts and solutions. Thereby we obtain solutions of more general singular integral equations of the Carleman type. Many interesting examples are presented to illustrate the general theory.
Starting Page	263
Ending Page	290
Page Count	28
File Format	PDF
ISSN	00361445
DOI	10.1137/1029044
e-ISSN	10957200
Journal	SIAM Review (SIREAD)
Issue Number	2
Volume Number	29
Language	English
Publisher	Society for Industrial and Applied Mathematics
Publisher Date	2006-07-18
Access Restriction	Subscribed
Subject Keyword	Hilbert transform fundamental solution Integration, integrals of Cauchy type, integral representations of analytic functions normal and nonnormal problems factorization integral operator singular integrals Integral equations with kernels of Cauchy type RiemannHilbert problem
Content Type	Text
Resource Type	Article
Subject	Applied Mathematics Theoretical Computer Science Computational Mathematics

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