zbMATH — the first resource for mathematics

Abel-Radon transform and applications. (English) Zbl 1075.44002
Laudal, Olav Arnfinn (ed.) et al., The legacy of Niels Henrik Abel. Papers from the Abel bicentennial conference, University of Oslo, Oslo, Norway, June 3–8, 2002. Berlin: Springer (ISBN 3-540-43826-2/hbk). 567-584 (2004).
This paper sums up several recent results in complex and real integral geometry inspired by Abel’s addition theorem, i.e. the complex and real Abel-Radon transforms, and sketches some applications to differential and functional equations.
For the entire collection see [Zbl 1047.00019].

MSC:
 44A12 Radon transform 32C30 Integration on analytic sets and spaces, currents