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Fischer decomposition in symplectic harmonic analysis

The result's identifiers

  • Result code in IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11320%2F14%3A10287076" target="_blank" >RIV/00216208:11320/14:10287076 - isvavai.cz</a>

  • Result on the web

    <a href="http://dx.doi.org/10.1007/s10455-014-9431-3" target="_blank" >http://dx.doi.org/10.1007/s10455-014-9431-3</a>

  • DOI - Digital Object Identifier

    <a href="http://dx.doi.org/10.1007/s10455-014-9431-3" target="_blank" >10.1007/s10455-014-9431-3</a>

Alternative languages

  • Result language

    angličtina

  • Original language name

    Fischer decomposition in symplectic harmonic analysis

  • Original language description

    In the framework of quaternionic Clifford analysis in Euclidean space, which constitutes a refinement of Euclidean and Hermitian Clifford analysis, the Fischer decomposition of the space of complex valued polynomials is obtained in terms of spaces of so-called (adjoint) symplectic spherical harmonics, which are irreducible modules for the symplectic group Sp(p). Its Howe dual partner is also determined.

  • 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/GBP201%2F12%2FG028" target="_blank" >GBP201/12/G028: Eduard Čech Institute for algebra, geometry and mathematical physics</a><br>

  • Continuities

    I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Others

  • Publication year

    2014

  • Confidentiality

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

Data specific for result type

  • Name of the periodical

    Annals of Global Analysis and Geometry

  • ISSN

    0232-704X

  • e-ISSN

  • Volume of the periodical

    46

  • Issue of the periodical within the volume

    4

  • Country of publishing house

    NL - THE KINGDOM OF THE NETHERLANDS

  • Number of pages

    22

  • Pages from-to

    409-430

  • UT code for WoS article

    000345135400005

  • EID of the result in the Scopus database