Three-variable symmetric and antisymmetric exponential functions and orthogonal polynomials

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68407700%3A21340%2F17%3A00311710" target="_blank" >RIV/68407700:21340/17:00311710 - isvavai.cz</a>

Výsledek na webu

<a href="https://www.degruyter.com/view/j/ms.2017.67.issue-2/ms-2016-0280/ms-2016-0280.xml" target="_blank" >https://www.degruyter.com/view/j/ms.2017.67.issue-2/ms-2016-0280/ms-2016-0280.xml</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1515/ms-2016-0280" target="_blank" >10.1515/ms-2016-0280</a>

Jazyk výsledku

angličtina

Název v původním jazyce

Three-variable symmetric and antisymmetric exponential functions and orthogonal polynomials

Popis výsledku v původním jazyce

The common exponential functions whose exponents are the scalar products <λ,x>, where x is a real variable and λ is an integer, admit two generalizations to any higher dimension, the symmetric and the antisymmetric ones. Restriction in the paper to the three variables only allows us to work out many specific properties of the symmetric and antisymmetric functions useful in applications. Such are (i) the orthogonalities, both the continuous one and the discrete one on the 3D lattice of any density; (ii) corresponding discrete and continuous Fourier transforms; (iii) generating functions for the related polynomials in three variables, and others. Rapidly increasing precision of the interpolation with increasing density of the 3D lattice is shown in an example.

Název v anglickém jazyce

Three-variable symmetric and antisymmetric exponential functions and orthogonal polynomials

Popis výsledku anglicky

The common exponential functions whose exponents are the scalar products <λ,x>, where x is a real variable and λ is an integer, admit two generalizations to any higher dimension, the symmetric and the antisymmetric ones. Restriction in the paper to the three variables only allows us to work out many specific properties of the symmetric and antisymmetric functions useful in applications. Such are (i) the orthogonalities, both the continuous one and the discrete one on the 3D lattice of any density; (ii) corresponding discrete and continuous Fourier transforms; (iii) generating functions for the related polynomials in three variables, and others. Rapidly increasing precision of the interpolation with increasing density of the 3D lattice is shown in an example.

Druh

J_imp - Článek v periodiku v databázi Web of Science

CEP obor

—

OECD FORD obor

10101 - Pure mathematics

Projekt

—

Návaznosti

S - Specificky vyzkum na vysokych skolach

Rok uplatnění

2017

Kód důvěrnosti údajů

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

Název periodika

Mathematica Slovaca

ISSN

0139-9918

e-ISSN

1337-2211

Svazek periodika

67

Číslo periodika v rámci svazku

2

Stát vydavatele periodika

SK - Slovenská republika

Počet stran výsledku

20

Strana od-do

427-446

Kód UT WoS článku

000407178700016

EID výsledku v databázi Scopus

2-s2.0-85020477136