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Journals and Conferences
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.
On the vertex operator algebra associated with a rank one lattice we derive a general formula for products of vertex operators in terms of generalized homogeneous symmetric functions. As an application we realize Jack symmetric functions of rectangular shapes as well as marked rectangular shapes.
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)