Abel Integral Equations: Analysis and Applications [1 ed.] 9780387536682, 0-387-53668-X, 354053668X
In many fields of application of mathematics, progress is crucially dependent on the good flow of information between (i
212 53 1MB
English Pages 222 [224] Year 1991
Table of contents :
Introduction....Pages 1-7
Basic theory and representation formulas....Pages 8-25
Applications of Abel's original integral equation: Determination of potentials....Pages 26-34
Applications of a transformed abel integral equation....Pages 35-63
Smoothing properties of the abel operators....Pages 64-82
Existence and uniqueness theorems....Pages 83-94
Relations between abel transform and other integral transforms....Pages 95-128
Nonlinear abel integral equations of second kind....Pages 129-153
Illposedness and stabilization of linear abel integral equations of first kind....Pages 154-181
On numerical treatment of first kind abel integral equations....Pages 182-194
Introduction....Pages 1-7
Basic theory and representation formulas....Pages 8-25
Applications of Abel's original integral equation: Determination of potentials....Pages 26-34
Applications of a transformed abel integral equation....Pages 35-63
Smoothing properties of the abel operators....Pages 64-82
Existence and uniqueness theorems....Pages 83-94
Relations between abel transform and other integral transforms....Pages 95-128
Nonlinear abel integral equations of second kind....Pages 129-153
Illposedness and stabilization of linear abel integral equations of first kind....Pages 154-181
On numerical treatment of first kind abel integral equations....Pages 182-194
![Abel Integral Equations: Analysis and Applications [1 ed.]
9780387536682, 0-387-53668-X, 354053668X](https://ebin.pub/img/200x200/abel-integral-equations-analysis-and-applications-1nbsped-9780387536682-0-387-53668-x-354053668x.jpg)
![Integral Equations and Integral Transforms [1 ed.]
9789819963591, 9789819963607](https://ebin.pub/img/200x200/integral-equations-and-integral-transforms-1nbsped-9789819963591-9789819963607.jpg)
![Partial Differential Equations: Theory, Analysis and Applications : Theory, Analysis and Applications [1 ed.]
9781613247433, 9781611228588](https://ebin.pub/img/200x200/partial-differential-equations-theory-analysis-and-applications-theory-analysis-and-applications-1nbsped-9781613247433-9781611228588.jpg)
![Solution Methods for Integral Equations: Theory and Applications [1 ed.]
0306402548, 9780306402548](https://ebin.pub/img/200x200/solution-methods-for-integral-equations-theory-and-applications-1nbsped-0306402548-9780306402548.jpg)
![Stochastic Analysis and Applications: The Abel Symposium 2005 [1 ed.]
9783540708469, 3-540-70846-4](https://ebin.pub/img/200x200/stochastic-analysis-and-applications-the-abel-symposium-2005-1nbsped-9783540708469-3-540-70846-4.jpg)