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Statements

Subject Item
n2:RIV%2F00216208%3A11320%2F13%3A10189980%21RIV14-GA0-11320___
rdf:type
skos:Concept n5:Vysledek
rdfs:seeAlso
http://dx.doi.org/10.1007/s00006-012-0368-y
dcterms:description
Recently the Gelfand-Tsetlin construction of orthogonal bases has been explicitly described for homogeneous polynomial solutions of the Hodge-de Rham systems in the Euclidean space of any dimension. In this paper, we study properties of these bases. In particular, we show that the bases form the Appell system and the corresponding Taylor series expansions are described. Recently the Gelfand-Tsetlin construction of orthogonal bases has been explicitly described for homogeneous polynomial solutions of the Hodge-de Rham systems in the Euclidean space of any dimension. In this paper, we study properties of these bases. In particular, we show that the bases form the Appell system and the corresponding Taylor series expansions are described.
dcterms:title
Orthogonal Appell Bases for Hodge-de Rham Systems in Euclidean Spaces Orthogonal Appell Bases for Hodge-de Rham Systems in Euclidean Spaces
skos:prefLabel
Orthogonal Appell Bases for Hodge-de Rham Systems in Euclidean Spaces Orthogonal Appell Bases for Hodge-de Rham Systems in Euclidean Spaces
skos:notation
RIV/00216208:11320/13:10189980!RIV14-GA0-11320___
n5:predkladatel
n6:orjk%3A11320
n3:aktivita
n13:P
n3:aktivity
P(GA201/08/0397)
n3:cisloPeriodika
1
n3:dodaniDat
n4:2014
n3:domaciTvurceVysledku
n11:4755596
n3:druhVysledku
n15:J
n3:duvernostUdaju
n19:S
n3:entitaPredkladatele
n16:predkladatel
n3:idSjednocenehoVysledku
94663
n3:idVysledku
RIV/00216208:11320/13:10189980
n3:jazykVysledku
n10:eng
n3:klicovaSlova
Taylor series; Appell property; Gelfand-Tsetlin basis; generalized Moisil-Theodoresco systems; Hodge-de Rham systems
n3:klicoveSlovo
n12:generalized%20Moisil-Theodoresco%20systems n12:Appell%20property n12:Taylor%20series n12:Hodge-de%20Rham%20systems n12:Gelfand-Tsetlin%20basis
n3:kodStatuVydavatele
CH - Švýcarská konfederace
n3:kontrolniKodProRIV
[FDCA4FB097B6]
n3:nazevZdroje
Advances in Applied Clifford Algebras
n3:obor
n20:BA
n3:pocetDomacichTvurcuVysledku
1
n3:pocetTvurcuVysledku
1
n3:projekt
n14:GA201%2F08%2F0397
n3:rokUplatneniVysledku
n4:2013
n3:svazekPeriodika
23
n3:tvurceVysledku
Lávička, Roman
n3:wos
000315160000007
s:issn
0188-7009
s:numberOfPages
12
n17:doi
10.1007/s00006-012-0368-y
n21:organizacniJednotka
11320