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Statements

Subject Item
n2:RIV%2F68407700%3A21340%2F10%3A00172456%21RIV11-MSM-21340___
rdf:type
skos:Concept n18:Vysledek
dcterms:description
The properties of the four families of the recently introduced special functions of two real variables, denoted here by E± and cos±, are studied. The superscripts + and - refer to the symmetric and antisymmetric functions, respectively. The functions are considered in all details required for their exploitation in Fourier expansions of digital data, sampled on square grids of any density, and for general position of the grid in the real plane relative to the lattice defined by the underlying group theory. The quality of continuous interpolation, resulting from the discrete expansions, is studied, exemplified, and compared for some model functions. The properties of the four families of the recently introduced special functions of two real variables, denoted here by E± and cos±, are studied. The superscripts + and - refer to the symmetric and antisymmetric functions, respectively. The functions are considered in all details required for their exploitation in Fourier expansions of digital data, sampled on square grids of any density, and for general position of the grid in the real plane relative to the lattice defined by the underlying group theory. The quality of continuous interpolation, resulting from the discrete expansions, is studied, exemplified, and compared for some model functions.
dcterms:title
Two-dimensional symmetric and antisymmetric generalizations of exponential and cosine functions Two-dimensional symmetric and antisymmetric generalizations of exponential and cosine functions
skos:prefLabel
Two-dimensional symmetric and antisymmetric generalizations of exponential and cosine functions Two-dimensional symmetric and antisymmetric generalizations of exponential and cosine functions
skos:notation
RIV/68407700:21340/10:00172456!RIV11-MSM-21340___
n3:aktivita
n8:P
n3:aktivity
P(LC06002)
n3:cisloPeriodika
2
n3:dodaniDat
n9:2011
n3:domaciTvurceVysledku
n13:1785621
n3:druhVysledku
n11:J
n3:duvernostUdaju
n16:S
n3:entitaPredkladatele
n10:predkladatel
n3:idSjednocenehoVysledku
293891
n3:idVysledku
RIV/68407700:21340/10:00172456
n3:jazykVysledku
n12:eng
n3:klicovaSlova
special functions, interpolation
n3:klicoveSlovo
n7:special%20functions n7:interpolation
n3:kodStatuVydavatele
US - Spojené státy americké
n3:kontrolniKodProRIV
[94E25D66CE26]
n3:nazevZdroje
Journal of Mathematical Physics
n3:obor
n17:BE
n3:pocetDomacichTvurcuVysledku
1
n3:pocetTvurcuVysledku
2
n3:projekt
n14:LC06002
n3:rokUplatneniVysledku
n9:2010
n3:svazekPeriodika
51
n3:tvurceVysledku
Hrivnák, Jiří Patera, Jiří
n3:wos
000275032100051
s:issn
0022-2488
s:numberOfPages
24
n15:organizacniJednotka
21340