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

The result's identifiers

  • Result code in IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11320%2F13%3A10189980" target="_blank" >RIV/00216208:11320/13:10189980 - isvavai.cz</a>

  • Result on the web

    <a href="http://dx.doi.org/10.1007/s00006-012-0368-y" target="_blank" >http://dx.doi.org/10.1007/s00006-012-0368-y</a>

  • DOI - Digital Object Identifier

    <a href="http://dx.doi.org/10.1007/s00006-012-0368-y" target="_blank" >10.1007/s00006-012-0368-y</a>

Alternative languages

  • Result language

    angličtina

  • Original language name

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

  • Original language 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.

  • Czech name

  • Czech description

Classification

  • Type

    J<sub>x</sub> - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)

  • CEP classification

    BA - General mathematics

  • OECD FORD branch

Result continuities

  • 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)

Others

  • Publication year

    2013

  • Confidentiality

    S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Data specific for result type

  • Name of the periodical

    Advances in Applied Clifford Algebras

  • ISSN

    0188-7009

  • e-ISSN

  • Volume of the periodical

    23

  • Issue of the periodical within the volume

    1

  • Country of publishing house

    CH - SWITZERLAND

  • Number of pages

    12

  • Pages from-to

    113-124

  • UT code for WoS article

    000315160000007

  • EID of the result in the Scopus database