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- aggregation classification "A1".
- aggregation creator B255602.
- aggregation creator B255603.
- aggregation creator person.
- aggregation date "2012".
- aggregation format "application/pdf".
- aggregation hasFormat 2154824.bibtex.
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- aggregation isPartOf urn:issn:0232-704X.
- aggregation language "eng".
- aggregation rights "I have transferred the copyright for this publication to the publisher".
- aggregation subject "Mathematics and Statistics".
- aggregation title "Orthogonal basis for spherical monogenics by step two branching".
- aggregation abstract "Spherical monogenics can be regarded as a basic tool for the study of harmonic analysis of the Dirac operator in Euclidean space R(m). They play a similar role as spherical harmonics do in case of harmonic analysis of the Laplace operator on Rm. Fix the direct sum R(m) = R(p) circle plus R(q). In this article, we will study the decomposition of the space M(n)(R(m), C(m)) of spherical monogenics of order n under the action of Spin(p) x Spin(q). As a result, we obtain a Spin(p) x Spin(q)- invariant orthonormal basis for M(n)(R(m), C(m)). In particular, using the construction with p = 2 inductively, this yields a new orthonormal basis for the space M(n)(R(m), C(m)).".
- aggregation authorList BK529825.
- aggregation endPage "186".
- aggregation issue "2".
- aggregation startPage "161".
- aggregation volume "41".
- aggregation aggregates 2154825.
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- aggregation similarTo s10455-011-9276-y.
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