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Dual-Root Lattice Discretization of Weyl Orbit Functions

The result's identifiers

  • Result code in IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68407700%3A21340%2F19%3A00338524" target="_blank" >RIV/68407700:21340/19:00338524 - isvavai.cz</a>

  • Result on the web

    <a href="https://doi.org/10.1007/s00041-019-09673-1" target="_blank" >https://doi.org/10.1007/s00041-019-09673-1</a>

  • DOI - Digital Object Identifier

    <a href="http://dx.doi.org/10.1007/s00041-019-09673-1" target="_blank" >10.1007/s00041-019-09673-1</a>

Alternative languages

  • Result language

    angličtina

  • Original language name

    Dual-Root Lattice Discretization of Weyl Orbit Functions

  • Original language description

    Four types of discrete transforms of Weyl orbit functions on finite point sets are developed. The point sets are formed by intersections of dual-root lattices with fundamental domains of affine Weyl groups. The finite sets of weights, labelling the orbit functions, obey symmetries of the dual extended affine Weyl groups. Fundamental domains of the dual extended affine Weyl groups are detailed in full generality. Identical cardinality of the point and weight sets is proved and explicit counting formulas for these cardinalities are derived. Discrete orthogonality of complex-valued Weyl and real-valued Hartley orbit functions over the point sets is established and the corresponding discrete Fourier-Weyl and Hartley-Weyl transforms are formulated. The unitary transform matrices of the discrete transforms are exemplified.

  • Czech name

  • Czech description

Classification

  • Type

    J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database

  • CEP classification

  • OECD FORD branch

    10102 - Applied mathematics

Result continuities

  • Project

  • Continuities

    S - Specificky vyzkum na vysokych skolach<br>I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Others

  • Publication year

    2019

  • Confidentiality

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

Data specific for result type

  • Name of the periodical

    The Journal of Fourier Analysis and Application

  • ISSN

    1069-5869

  • e-ISSN

    1531-5851

  • Volume of the periodical

    25

  • Issue of the periodical within the volume

    5

  • Country of publishing house

    US - UNITED STATES

  • Number of pages

    49

  • Pages from-to

    2521-2569

  • UT code for WoS article

    000504219600010

  • EID of the result in the Scopus database

    2-s2.0-85062787518