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Gelfand-Tsetlin Bases of Orthogonal Polynomials in Hermitean Clifford Analysis
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21 February 2011
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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 centred around the simultaneous null solutions of two Hermitean conjugate complex Dirac operators.
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Most cited references10
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Gelfand–Tsetlin Bases for Classical Lie Algebras
A.I. Molev (2006)
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The Howe dual pair in Hermitean Clifford analysis
Fred Brackx, Hennie De Schepper, David Eelbode … (2010)
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Fundaments of Hermitean Clifford Analysis Part I: Complex Structure
Hennie De Schepper, Vladimír Soucek, Frank Sommen … (2007)
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