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On the Szegő–Radon projection of monogenic functions.
- Source :
-
Advances in Applied Mathematics . Mar2016, Vol. 74, p1-22. 22p. - Publication Year :
- 2016
-
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. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 01968858
- Volume :
- 74
- Database :
- Academic Search Index
- Journal :
- Advances in Applied Mathematics
- Publication Type :
- Academic Journal
- Accession number :
- 112473609
- Full Text :
- https://doi.org/10.1016/j.aam.2015.10.002