Orthogonal polynomials associated with the Dirac operator in Euclidean space

zbMath0751.33002MaRDI QIDQ1192416

B.Gilligan

Publication date: 27 September 1992

Published in: Chinese Annals of Mathematics. Series B (Search for Journal in Brave)

zbMATH Keywords

Dirac operatorHilbert spacesclassical orthogonal polynomialsLaguerre polynomialJacobi polynomialshigher dimensionsHermite polynomialderivation operatorsecond order differential operator

Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Functional-differential equations in abstract spaces (34K30)

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A generalised Christoffel-Darboux formula and reproducing kernels in spaces of polymonogenic and polyharmonic functions ⋮ Clifford algebra-valued orthogonal polynomials in Euclidean space

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