Abstract

In this paper we introduce the Szego-Radon transform for biaxially monogenic functions, which are calculated explicitly for the two types of biaxially monogenic functions. To simplify these results, we make use of the Funk-Hecke theorem to obtain Vekua systems in two real variables. Using the biaxial decomposition of inner spherical monogenics in biaxially symmetric domain, we obtain the biaxial decomposition of Szego-Radon transform.

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