Diagonalization of Abel's integral operator
An explicit diagonalization of Abel's integral operator A(g)(y) = ∫^(∞)_(y) 1/√[(x^(2)-y^(2)]g(x)dx is given.
© 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.
Published - KNIsiamjam94.pdf