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Analytical and Numerical Solutions of Linear Singular Integral Equations
作者机构：Gunma Univ Fac Engn Dept Math Kiryu Gunma 3768515 Japan
出 版 物：《INTERNATIONAL JOURNAL OF APPLIED MATHEMATICS & STATISTICS》 (Int. J. Appl. Math. Stat.)
年 卷 期：2007年第12卷第D07期
页 面：76-89页
核心收录：
学科分类：07[理学] 0701[理学-数学] 070101[理学-基础数学]
基 金：Japan Society for the Promotion of Science Gunma University Foundation for the Promotion of Science and Engineering Japan Society for the Promotion Science Mitsubishi Foundation Grants-in-Aid for Scientific Research [18740067, 16540137] Funding Source: KAKEN
主 题：Linear singular integral equation Hilbert transform Carleman's equation approximation of functions reproducing kernel Tikhonov regularization Paley-Wiener space generalized inverse approximate inverse noise error
摘 要：In this paper, by a new concept and method we shall give practical and numerical solutions of linear singular integral equations by combining the two theories of the Tikhonov regularization and reproducing kernels.
