Abel Integral Equations Analysis and Applications
In many fields of application of mathematics, progress is crucially dependent on the good flow of information between (i) theoretical mathematicians looking for applications, (ii) mathematicians working in applications in need of theory, and (iii) scientists and engineers applying mathematical model...
| Main Authors: | , |
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| Format: | eBook |
| Language: | English |
| Published: |
Berlin, Heidelberg
Springer Berlin Heidelberg
1991, 1991
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| Edition: | 1st ed. 1991 |
| Series: | Lecture Notes in Mathematics
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| Subjects: | |
| Online Access: | |
| Collection: | Springer Book Archives -2004 - Collection details see MPG.ReNa |
Table of Contents:
- Basic theory and representation formulas
- Applications of Abel's original integral equation: Determination of potentials
- Applications of a transformed abel integral equation
- Smoothing properties of the abel operators
- Existence and uniqueness theorems
- Relations between abel transform and other integral transforms
- Nonlinear abel integral equations of second kind
- Illposedness and stabilization of linear abel integral equations of first kind
- On numerical treatment of first kind abel integral equations