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SUMMARY We present numerical implementation of high order RWG basis functions for electromagnetic scattering for curved conductor surfaces with a procedure for treating the singularities of dyadic Green's functions in the mixed potential formulation of electromagnetic scattering.
We introduce a Laplace-Beltrami type operator on the Fock space of symmetric functions and show that the Jack symmetric functions are the only family of eigenvectors of the differential operator, thus giving a new characterization of Jack polynomials. This was achieved by explicit computation of its action on generalized homogeneous symmetric functions.… (More)