We define a version of the Radon transform for monogenic functions which is based on Szego kernels. The corresponding Szego-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.
On the Szego-Radon projection of monogenic functions
COLOMBO, FABRIZIO;SABADINI, IRENE MARIA;
2016-01-01
Abstract
We define a version of the Radon transform for monogenic functions which is based on Szego kernels. The corresponding Szego-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.File in questo prodotto:
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