Three-variable alternating trigonometric functions and corresponding Fourier transforms

Kód výsledku v IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68407700%3A21340%2F16%3A00243068" target="_blank" >RIV/68407700:21340/16:00243068 - isvavai.cz</a>
Výsledek na webu
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DOI - Digital Object Identifier
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Jazyk výsledku
angličtina
Název v původním jazyce
Three-variable alternating trigonometric functions and corresponding Fourier transforms
Popis výsledku v původním jazyce
The common trigonometric functions admit generalizations to any higher dimension. In this paper, we restrict ourselves to three dimensional generalization only, focusing on alternating case in detail. Many specific properties of this new class of special functions are studied, such as the orthogonalities, both the continuous one and the discrete one on the 3D lattice of any density, discrete and continuous Fourier transforms, 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 alternating trigonometric functions and corresponding Fourier transforms
Popis výsledku anglicky
The common trigonometric functions admit generalizations to any higher dimension. In this paper, we restrict ourselves to three dimensional generalization only, focusing on alternating case in detail. Many specific properties of this new class of special functions are studied, such as the orthogonalities, both the continuous one and the discrete one on the 3D lattice of any density, discrete and continuous Fourier transforms, and others. Rapidly increasing precision of the interpolation with increasing density of the 3D lattice is shown in an example.

Druh
J<sub>x</sub> - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
CEP obor
BA - Obecná matematika
OECD FORD obor
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Rok uplatnění
2016
Kód důvěrnosti údajů
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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