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- aggregation classification "A1".
- aggregation creator person.
- aggregation creator person.
- aggregation date "2007".
- aggregation format "application/pdf".
- aggregation hasFormat 425373.bibtex.
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- aggregation hasFormat 425373.doc.
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- aggregation hasFormat 425373.yaml.
- aggregation isPartOf urn:issn:1751-8113.
- aggregation language "eng".
- aggregation rights "I have transferred the copyright for this publication to the publisher".
- aggregation subject "Physics and Astronomy".
- aggregation title "Spherical harmonics and integration in superspace".
- aggregation abstract "In this paper, the classical theory of spherical harmonics in Rm is extended to superspace using techniques from Clifford analysis. After defining a super-Laplace operator and studying some basic properties of polynomial null-solutions of this operator, a new type of integration over the supersphere is introduced by exploiting the formal equivalence with an old result of Pizzetti. This integral is then used to prove orthogonality of spherical harmonics of different degree, Green-like theorems and also an extension of the important Funk-Hecke theorem to superspace. Finally, this integration over the supersphere is used to define an integral over the whole superspace, and it is proven that this is equivalent with the Berezin integral, thus providing a more sound definition of the Berezin integral.".
- aggregation authorList BK604504.
- aggregation endPage "7212".
- aggregation issue "26".
- aggregation startPage "7193".
- aggregation volume "40".
- aggregation aggregates 931609.
- aggregation isDescribedBy 425373.
- aggregation similarTo 007.
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