Central Splitting of A(2) Discrete Fourier-Weyl Transforms

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68407700%3A21340%2F20%3A00346595" target="_blank" >RIV/68407700:21340/20:00346595 - isvavai.cz</a>

Výsledek na webu

<a href="https://doi.org/10.3390/sym12111828" target="_blank" >https://doi.org/10.3390/sym12111828</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.3390/sym12111828" target="_blank" >10.3390/sym12111828</a>

Jazyk výsledku

angličtina

Název v původním jazyce

Central Splitting of A(2) Discrete Fourier-Weyl Transforms

Popis výsledku v původním jazyce

Two types of bivariate discrete weight lattice Fourier-Weyl transforms are related by the central splitting decomposition. The two-variable symmetric and antisymmetric Weyl orbit functions of the crystallographic reflection group A2 constitute the kernels of the considered transforms. The central splitting of any function carrying the data into a sum of components governed by the number of elements of the center of A2 is employed to reduce the original weight lattice Fourier-Weyl transform into the corresponding weight lattice splitting transforms. The weight lattice elements intersecting with one-third of the fundamental region of the affine Weyl group determine the point set of the splitting transforms. The unitary matrix decompositions of the normalized weight lattice Fourier-Weyl transforms are presented. The interpolating behavior and the unitary transform matrices of the weight lattice splitting Fourier-Weyl transforms are exemplified.

Název v anglickém jazyce

Central Splitting of A(2) Discrete Fourier-Weyl Transforms

Popis výsledku anglicky

Two types of bivariate discrete weight lattice Fourier-Weyl transforms are related by the central splitting decomposition. The two-variable symmetric and antisymmetric Weyl orbit functions of the crystallographic reflection group A2 constitute the kernels of the considered transforms. The central splitting of any function carrying the data into a sum of components governed by the number of elements of the center of A2 is employed to reduce the original weight lattice Fourier-Weyl transform into the corresponding weight lattice splitting transforms. The weight lattice elements intersecting with one-third of the fundamental region of the affine Weyl group determine the point set of the splitting transforms. The unitary matrix decompositions of the normalized weight lattice Fourier-Weyl transforms are presented. The interpolating behavior and the unitary transform matrices of the weight lattice splitting Fourier-Weyl transforms are exemplified.

Druh

J_imp - Článek v periodiku v databázi Web of Science

CEP obor

—

OECD FORD obor

10102 - Applied mathematics

Projekt

<a href="/cs/project/GA19-19535S" target="_blank" >GA19-19535S: Fourierovy metody speciálních funkcí afinních Weylových grup</a><br>

Návaznosti

P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Rok uplatnění

2020

Kód důvěrnosti údajů

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

Název periodika

Symmetry

ISSN

2073-8994

e-ISSN

2073-8994

Svazek periodika

12

Číslo periodika v rámci svazku

11

Stát vydavatele periodika

CH - Švýcarská konfederace

Počet stran výsledku

26

Strana od-do

—

Kód UT WoS článku

000593768200001

EID výsledku v databázi Scopus

2-s2.0-85096214403