The biaxial fueter theorem
Faculty of Sciences. Mathematics and Computer Science
Israel journal of mathematics. - Jerusalem
, p. 233-245
University of Antwerp
This paper deals with a special type of solutions for the Dirac operator on R-m, which can be obtained through a biaxial generalisation of the classical Fueter Theorem. This is a result which allows to generate zonal solutions for the Dirac equation starting from arbitrary holomorphic functions in the complex plane. Invoking operator identities for Jacobi polynomials, it is shown how this procedure can be extended to more general splittings than the one usually considered in the literature.