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- aggregation classification "A1".
- aggregation creator person.
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- aggregation date "2008".
- aggregation format "application/pdf".
- aggregation hasFormat 681392.bibtex.
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- aggregation isPartOf urn:issn:1065-2469.
- aggregation language "eng".
- aggregation rights "I have transferred the copyright for this publication to the publisher".
- aggregation subject "Mathematics and Statistics".
- aggregation title "Orthogonality of the generalized Hermitean Clifford-Hermite polynomials".
- aggregation abstract "Clifford analysis is a higher-dimensional function theory offering a refinement of classical harmonic analysis. It is centred around monogenic functions, i.e. null solutions of the rotation invariant vector-valued Dirac operator. In this context, generalizations of classical orthogonal polynomials on the real line have been introduced in order to use them as building blocks for wavelets, as has been the case, e. g. for the generalized Clifford-Hermite polynomials. More recently, Hermitean Clifford analysis has emerged as a new branch of Clifford analysis, offering yet a refinement of the standard Euclidean case; it focuses on simultaneous null solutions of two Hermitean Dirac operators which are invariant under the action of the unitary group. In this Hermitean setting, generalized Hermitean Clifford-Hermite polynomials are constructed, starting from a Rodrigues formula involving both Hermitean Dirac operators. In this paper, we establish their mutual orthogonality relations w.r.t. a well-chosen weight function.".
- aggregation authorList BK783228.
- aggregation endPage "707".
- aggregation issue "10".
- aggregation startPage "687".
- aggregation volume "19".
- aggregation aggregates 713359.
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