Complete Orthogonal Appell Systems for Spherical Monogenics

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11320%2F12%3A10104504" target="_blank" >RIV/00216208:11320/12:10104504 - isvavai.cz</a>
Result on the web
<a href="http://dx.doi.org/10.1007/s11785-011-0200-z" target="_blank" >http://dx.doi.org/10.1007/s11785-011-0200-z</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1007/s11785-011-0200-z" target="_blank" >10.1007/s11785-011-0200-z</a>

Result language
angličtina
Original language name
Complete Orthogonal Appell Systems for Spherical Monogenics
Original language description
In this paper, we investigate properties of Gelfand-Tsetlin bases mainly for spherical monogenics, that is, for spinor valued or Clifford algebra valued homogeneous solutions of the Dirac equation in the Euclidean space. Recently it has been observed that in dimension 3 these bases form an Appell system. We show that Gelfand-Tsetlin bases of spherical monogenics form complete orthogonal Appell systems in any dimension. Moreover, we study the corresponding Taylor series expansions for monogenic functions. We obtain analogous results for spherical harmonics as well.
Czech name
—
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
—

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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