Abel Integral Equations

Abel Integral Equations
Rudolf Gorenflo, Sergio Vessella

1. Basic theory and representation formulas
2. Applications of Abel's original integral equation: determination of potentials
3. Applications of a transformed Abel integral equation
4. Smoothing properties of the Abel operators
5. Existence and uniqueness theorems
6.Relations between the Abel transform and other integral equations
7. Nonlinear Abel integral equations of second kind
8. Illposedness and stabilization of linear Abel integral equations of first kind
9. On numerical treatment of first kind Abel integral equations