The Gelfand-Tsetlin bases for spherical monogenics in dimension 3

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11320%2F12%3A10104514" target="_blank" >RIV/00216208:11320/12:10104514 - isvavai.cz</a>
Result on the web
<a href="http://dx.doi.org/10.4171/RMI/708" target="_blank" >http://dx.doi.org/10.4171/RMI/708</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.4171/RMI/708" target="_blank" >10.4171/RMI/708</a>

Result language
angličtina
Original language name
The Gelfand-Tsetlin bases for spherical monogenics in dimension 3
Original language description
The main aim of this paper is to recall the notion of the Gelfand-Tsetlin bases (GT bases for short) and to use it for an explicit construction of orthogonal bases for the spaces of spherical monogenics (i.e., homogeneous solutions of the Dirac or the generalized Cauchy-Riemann equation, respectively) in dimension 3. In the paper, using the GT construction, we obtain explicit orthogonal bases for spherical monogenics in dimension 3 having the Appell property and we compare them with those constructed bythe first and the second author recently (by a direct analytic approach).
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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Project
<a href="/en/project/GA201%2F08%2F0397" target="_blank" >GA201/08/0397: Algebraic methods in geometry and topology</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)<br>Z - Vyzkumny zamer (s odkazem do CEZ)

Publication year
2012
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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