Abel-Radon transform and applications. (English) Zbl 1075.44002

Henkin, G. M.

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].

Reviewer: Na Jisheng (Beijing)

MSC:

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

Keywords:

complex and real Abel-Radon transforms; meromorphic form; Abel addition theorem; Abel functional equation; integral geometry