"Constructing Multidimensional Monogenic Homogeneous Function"Baghal Ghaffari, HamedThe complex adjoint matrix has been used to transfer results for matrices with complex entries to matrices with quaternionic entries. We extend this construction to matrices with entries in a Clifford algebra and employ it in the construction of orthonormal bases of spherical monogenics in higher dimensions. Finally, we use optimization techniques to construct orthonormal bases of near-zonal spherical monogenics. This is a joint work with Jeff Hogan and Joseph Lakey. |
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