Dual-Root Lattice Discretization of Weyl Orbit Functions

Kód výsledku v 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>

Výsledek na webu

<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>

Jazyk výsledku

angličtina

Název v původním jazyce

Dual-Root Lattice Discretization of Weyl Orbit Functions

Popis výsledku v původním jazyce

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.

Název v anglickém jazyce

Dual-Root Lattice Discretization of Weyl Orbit Functions

Popis výsledku anglicky

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.

Druh

J_imp - Článek v periodiku v databázi Web of Science

CEP obor

—

OECD FORD obor

10102 - Applied mathematics

Projekt

—

Návaznosti

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

Rok uplatnění

2019

Kód důvěrnosti údajů

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

Název periodika

The Journal of Fourier Analysis and Application

ISSN

1069-5869

e-ISSN

1531-5851

Svazek periodika

25

Číslo periodika v rámci svazku

5

Stát vydavatele periodika

US - Spojené státy americké

Počet stran výsledku

49

Strana od-do

2521-2569

Kód UT WoS článku

000504219600010

EID výsledku v databázi Scopus

2-s2.0-85062787518