DUNKL OPERATORS AND A FAMILY OF REALIZATIONS OF osp(1 vertical bar 2)

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11320%2F12%3A10129045" target="_blank" >RIV/00216208:11320/12:10129045 - isvavai.cz</a>
Result on the web
<a href="http://www.ams.org/journals/tran/2012-364-07/S0002-9947-2012-05608-X/" target="_blank" >http://www.ams.org/journals/tran/2012-364-07/S0002-9947-2012-05608-X/</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1090/S0002-9947-2012-05608-X" target="_blank" >10.1090/S0002-9947-2012-05608-X</a>

Result language
angličtina
Original language name
DUNKL OPERATORS AND A FAMILY OF REALIZATIONS OF osp(1 vertical bar 2)
Original language description
In this paper, a family of radial deformations of the realization of the Lie superalgebra osp(1 vertical bar 2) in the theory of Dunkl operators is obtained. This leads to a Dirac operator depending on 3 parameters. Several function theoretical aspects of this operator are studied, such as the associated measure, the related Laguerre polynomials and the related Fourier transform. For special values of the parameters, it is possible to construct the kernel of the Fourier transform explicitly, as well asthe related intertwining operator.
Czech name
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Czech description
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Type
J<sub>x</sub> - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)
CEP classification
BA - General mathematics
OECD FORD branch
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Publication year
2012
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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