Constructive approximation by monogenic polynomials

By M. Cação. 2004

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Canonical bases for sl(2,C)-modules of spherical monogenics in dimension 3 (2010, methodology): “In [9], orthogonal bases are constructed from systems of spherical monogenics which are obtained by applying the adjoint Cauchy-Riemann operator to elements of the standard bases of spherical harmonics.”
Complete Orthogonal Appell Systems for Spherical Monogenics (2011, methodology): “Moreover, in dimension 3, another constructions of orthogonal bases of spherical monogenics using the standard bases of spherical harmonics were done also by Cação, Bock, Gürlebeck and Malonek (see [9–12]).”
On a generalized Appell system and monogenic power series (2009, methodology): “The theorem presented here refines the decomposition theorem, which was proved in [10] because we are now able to describe an orthonormal basis (a subsystem of the Appell system) for each of the subspaces of the decomposition.”
On derivatives of spherical monogenics (2006, background): “LEMMA 2 [9] For arbitrary n 2 N0, each of the sets”
The Gelfand-Tsetlin bases for spherical monogenics in dimension 3 (2010, background): “Cação [16], and the first and the second authors and H.”