About: Orthogonal Appell Bases for Hodge-de Rham Systems in Euclidean Spaces

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An Entity of Type : http://linked.opendata.cz/ontology/domain/vavai/Vysledek, within Data Space : linked.opendata.cz associated with source document(s)

Attributes	Values
rdf:type	skos:Concept http://linked.opendata.cz/ontology/domain/vavai/Vysledek
rdfs:seeAlso	http://dx.doi.org/10.1007/s00006-012-0368-y
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. (en)
Title	Orthogonal Appell Bases for Hodge-de Rham Systems in Euclidean Spaces Orthogonal Appell Bases for Hodge-de Rham Systems in Euclidean Spaces (en)
skos:prefLabel	Orthogonal Appell Bases for Hodge-de Rham Systems in Euclidean Spaces Orthogonal Appell Bases for Hodge-de Rham Systems in Euclidean Spaces (en)
skos:notation	RIV/00216208:11320/13:10189980!RIV14-GA0-11320___
http://linked.open...avai/predkladatel	Matematicko-fyzikální fakulta
http://linked.open...avai/riv/aktivita	P
http://linked.open...avai/riv/aktivity	P(GA201/08/0397)
http://linked.open...iv/cisloPeriodika	1
http://linked.open...vai/riv/dodaniDat	2014
http://linked.open...aciTvurceVysledku	Lávička, Roman
http://linked.open.../riv/druhVysledku	J - Článek v odborném periodiku
http://linked.open...iv/duvernostUdaju	S - Úplné a pravdivé údaje nepodléhající ochraně podle zvláštních právních předpisů
http://linked.open...titaPredkladatele	Univerzita Karlova v Praze / Matematicko-fyzikální fakulta
http://linked.open...dnocenehoVysledku	94663
http://linked.open...ai/riv/idVysledku	RIV/00216208:11320/13:10189980
http://linked.open...riv/jazykVysledku	eng - angličtina
http://linked.open.../riv/klicovaSlova	Taylor series; Appell property; Gelfand-Tsetlin basis; generalized Moisil-Theodoresco systems; Hodge-de Rham systems (en)
http://linked.open.../riv/klicoveSlovo	Gelfand-Tsetlin basis generalized Moisil-Theodoresco systems Appell property Hodge-de Rham systems Taylor series
http://linked.open...odStatuVydavatele	CH - Švýcarská konfederace
http://linked.open...ontrolniKodProRIV	[FDCA4FB097B6]
http://linked.open...i/riv/nazevZdroje	Advances in Applied Clifford Algebras
http://linked.open...in/vavai/riv/obor	BA
http://linked.open...ichTvurcuVysledku	1 (xsd:int)
http://linked.open...cetTvurcuVysledku	1 (xsd:int)
http://linked.open...vavai/riv/projekt	Algebraic methods in geometry and topology
http://linked.open...UplatneniVysledku	2013
http://linked.open...v/svazekPeriodika	23
http://linked.open...iv/tvurceVysledku	Lávička, Roman
http://linked.open...ain/vavai/riv/wos	000315160000007
issn	0188-7009
number of pages	12 (xsd:int)
http://bibframe.org/vocab/doi	10.1007/s00006-012-0368-y
http://localhost/t...ganizacniJednotka	11320

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