Foundational aspects of singular integrals |
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Authors: | Ovidiu Costin Harvey M Friedman |
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Institution: | Mathematics Department, The Ohio State University, 231 w 18th Ave, Columbus, OH 43210, United States |
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Abstract: | We investigate integration of classes of real-valued continuous functions on (0,1]. Of course difficulties arise if there is a non-L1 element in the class, and the Hadamard finite part integral (p.f.) does not apply. Such singular integrals arise naturally in many contexts including PDEs and singular ODEs. |
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Keywords: | 32A55 03E15 03E25 03E35 03E75 |
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