Discrete cosine and sine transforms generalized to honeycomb lattice II. Zigzag boundaries

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68407700%3A21340%2F21%3A00355856" target="_blank" >RIV/68407700:21340/21:00355856 - isvavai.cz</a>

Výsledek na webu

<a href="https://doi.org/10.1063/5.0048207" target="_blank" >https://doi.org/10.1063/5.0048207</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1063/5.0048207" target="_blank" >10.1063/5.0048207</a>

Jazyk výsledku

angličtina

Název v původním jazyce

Discrete cosine and sine transforms generalized to honeycomb lattice II. Zigzag boundaries

Popis výsledku v původním jazyce

The discrete cosine and sine transforms are generalized to a triangular fragment of the honeycomb lattice with zigzag boundaries. The zigzag honeycomb point sets are constructed by subtracting the weight lattice from the refined root lattice points of the crystallographic root system A(2). The two-variable (anti)symmetric orbit functions of the Weyl group of A(2), discretized simultaneously on the triangular fragments of the root and weight lattices, induce a novel parametric family of zigzag extended Weyl and Hartley orbit functions. As specific linear combinations of the original orbit functions, the zigzag extended orbit functions retain the Neumann and Dirichlet boundary conditions. Three types of discrete complex Fourier-Weyl transforms and real-valued Hartley-Weyl transforms are detailed. The corresponding unitary transform matrices and interpolating behavior of the discrete transforms are exemplified.

Název v anglickém jazyce

Discrete cosine and sine transforms generalized to honeycomb lattice II. Zigzag boundaries

Popis výsledku anglicky

The discrete cosine and sine transforms are generalized to a triangular fragment of the honeycomb lattice with zigzag boundaries. The zigzag honeycomb point sets are constructed by subtracting the weight lattice from the refined root lattice points of the crystallographic root system A(2). The two-variable (anti)symmetric orbit functions of the Weyl group of A(2), discretized simultaneously on the triangular fragments of the root and weight lattices, induce a novel parametric family of zigzag extended Weyl and Hartley orbit functions. As specific linear combinations of the original orbit functions, the zigzag extended orbit functions retain the Neumann and Dirichlet boundary conditions. Three types of discrete complex Fourier-Weyl transforms and real-valued Hartley-Weyl transforms are detailed. The corresponding unitary transform matrices and interpolating behavior 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

<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

2021

Kód důvěrnosti údajů

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

Název periodika

Journal of Mathematical Physics

ISSN

0022-2488

e-ISSN

1089-7658

Svazek periodika

62

Číslo periodika v rámci svazku

9

Stát vydavatele periodika

US - Spojené státy americké

Počet stran výsledku

34

Strana od-do

—

Kód UT WoS článku

000729348900005

EID výsledku v databázi Scopus

2-s2.0-85114729093