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Published October 1994 | Published
Journal Article Open

Diagonalization of Abel's integral operator

Knill, Oliver

Abstract

An explicit diagonalization of Abel's integral operator A(g)(y) = ∫^(∞)_(y) 1/√[(x^(2)-y^(2)]g(x)dx is given.

Additional Information

© 1994 Society for Industrial and Applied Mathematics. Received June 25, 1993; accepted December 20, 1993. The author thanks the referees for useful remarks and constructive critics.

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August 22, 2023
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