Three-variable alternating trigonometric functions and corresponding Fourier transforms
The result's identifiers
Result code in 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>
Result on the web
—
DOI - Digital Object Identifier
—
Alternative languages
Result language
angličtina
Original language name
Three-variable alternating trigonometric functions and corresponding Fourier transforms
Original language description
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.
Czech name
—
Czech description
—
Classification
Type
J<sub>x</sub> - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)
CEP classification
BA - General mathematics
OECD FORD branch
—
Result continuities
Project
—
Continuities
S - Specificky vyzkum na vysokych skolach
Others
Publication year
2016
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Acta Polytechnica
ISSN
1210-2709
e-ISSN
—
Volume of the periodical
56
Issue of the periodical within the volume
3
Country of publishing house
CZ - CZECH REPUBLIC
Number of pages
10
Pages from-to
156-165
UT code for WoS article
—
EID of the result in the Scopus database
—