Discrete transforms and orthogonal polynomials of (Anti)symmetric multivariate sine functions
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68407700%3A21340%2F18%3A00326393" target="_blank" >RIV/68407700:21340/18:00326393 - isvavai.cz</a>
Result on the web
<a href="http://dx.doi.org/10.3390/e20120938" target="_blank" >http://dx.doi.org/10.3390/e20120938</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.3390/e20120938" target="_blank" >10.3390/e20120938</a>
Alternative languages
Result language
angličtina
Original language name
Discrete transforms and orthogonal polynomials of (Anti)symmetric multivariate sine functions
Original language description
Sixteen types of the discrete multivariate transforms, induced by the multivariate antisymmetric and symmetric sine functions, are explicitly developed. Provided by the discrete transforms, inherent interpolation methods are formulated. The four generated classes of the corresponding orthogonal polynomials generalize the formation of the Chebyshev polynomials of the second and fourth kinds. Continuous orthogonality relations of the polynomials together with the inherent weight functions are deduced. Sixteen cubature rules, including the four Gaussian, are produced by the related discrete transforms. For the three-dimensional case, interpolation tests, unitary transform matrices and recursive algorithms for calculation of the polynomials are presented.
Czech name
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Czech description
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Classification
Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
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OECD FORD branch
10300 - Physical sciences
Result continuities
Project
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Continuities
S - Specificky vyzkum na vysokych skolach<br>I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace
Others
Publication year
2018
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Entropy
ISSN
1099-4300
e-ISSN
1099-4300
Volume of the periodical
20
Issue of the periodical within the volume
12
Country of publishing house
CH - SWITZERLAND
Number of pages
25
Pages from-to
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UT code for WoS article
000454282000046
EID of the result in the Scopus database
2-s2.0-85058936780