Generalized Dual-Root Lattice Transforms of Affine Weyl Groups

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68407700%3A21340%2F20%3A00346596" target="_blank" >RIV/68407700:21340/20:00346596 - isvavai.cz</a>

Výsledek na webu

<a href="https://doi.org/10.3390/sym12061018" target="_blank" >https://doi.org/10.3390/sym12061018</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.3390/sym12061018" target="_blank" >10.3390/sym12061018</a>

Jazyk výsledku

angličtina

Název v původním jazyce

Generalized Dual-Root Lattice Transforms of Affine Weyl Groups

Popis výsledku v původním jazyce

Discrete transforms of Weyl orbit functions on finite fragments of shifted dual root lattices are established. The congruence classes of the dual weight lattices intersected with the fundamental domains of the affine Weyl groups constitute the point sets of the transforms. The shifted weight lattices intersected with the fundamental domains of the extended dual affine Weyl groups form the sets of labels of Weyl orbit functions. The coinciding cardinality of the point and label sets and corresponding discrete orthogonality relations of Weyl orbit functions are demonstrated. The explicit counting formulas for the numbers of elements contained in the point and label sets are calculated. The forward and backward discrete Fourier-Weyl transforms, together with the associated interpolation and Plancherel formulas, are presented. The unitary transform matrices of the discrete transforms are exemplified for the case A2.

Název v anglickém jazyce

Generalized Dual-Root Lattice Transforms of Affine Weyl Groups

Popis výsledku anglicky

Discrete transforms of Weyl orbit functions on finite fragments of shifted dual root lattices are established. The congruence classes of the dual weight lattices intersected with the fundamental domains of the affine Weyl groups constitute the point sets of the transforms. The shifted weight lattices intersected with the fundamental domains of the extended dual affine Weyl groups form the sets of labels of Weyl orbit functions. The coinciding cardinality of the point and label sets and corresponding discrete orthogonality relations of Weyl orbit functions are demonstrated. The explicit counting formulas for the numbers of elements contained in the point and label sets are calculated. The forward and backward discrete Fourier-Weyl transforms, together with the associated interpolation and Plancherel formulas, are presented. The unitary transform matrices of the discrete transforms are exemplified for the case A2.

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

6

Stát vydavatele periodika

CH - Švýcarská konfederace

Počet stran výsledku

38

Strana od-do

—

Kód UT WoS článku

000553571200001

EID výsledku v databázi Scopus

2-s2.0-85087522825