Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4624547 | Advances in Applied Mathematics | 2016 | 22 Pages |
Abstract
We define a version of the Radon transform for monogenic functions which is based on Szegő kernels. The corresponding Szegő–Radon projection is abstractly defined as the orthogonal projection of a Hilbert module of left monogenic functions onto a suitable closed submodule of functions depending only on two variables. We also establish the inversion formula based on the dual transform.
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Fabrizio Colombo, Irene Sabadini, Franciscus Sommen,