Definitions, properties and applications of finite-part integrals

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摘要

By using standard calculus, we discuss some definitions and properties of finite-part integrals, point out the essence of this concept and show how these integrals naturally arise in some integral equation applications. A couple of new examples are also described.

论文关键词：primary,65D32,secondary,65R20,65N38,Finite-part integrals,Hypersingular integrals,Hypersingular integral equations

论文评审过程：Received 16 March 2007, Revised 21 May 2007, Available online 8 April 2008.

论文官网地址：https://doi.org/10.1016/j.cam.2008.04.006