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Gel'fand–Tsetlin bases of orthogonal polynomials in Hermitean Clifford analysis
Authors:F Brackx  H De Schepper  R Lávička  V Souček
Institution:1. Clifford Research Group, Faculty of Engineering, Ghent University Building S22, , B‐9000 Gent, Belgium;2. Mathematical Institute, Faculty of Mathematics and Physics, Charles University, , 186 75 Praha, Czech Republic
Abstract:An explicit algorithmic construction is given for orthogonal bases for spaces of homogeneous polynomials, in the context of Hermitean Clifford analysis, which is a higher dimensional function theory centered around the simultaneous null solutions of two Hermitean conjugate complex Dirac operators. Copyright © 2011 John Wiley & Sons, Ltd.
Keywords:orthogonal basis  Gel'fand–  Tsetlin basis  Clifford analysis
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