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Statements

Subject Item
n2:RIV%2F68407700%3A21340%2F10%3A00172463%21RIV11-MSM-21340___
rdf:type
skos:Concept n18:Vysledek
dcterms:description
The properties of two-dimensional generalizations of sine functions that are symmetric or antisymmetric with respect to permutations of their two variables are described. It is shown that the functions are orthogonal when integrated over a finite region F of the real Euclidean space, and that they are discretely orthogonal when summed up over a lattice of any density in F. The decomposability of the products of functions into their sums is shown by explicitly decomposing products of all types. The formalism is set up for Fourier-like expansions of the digital data over two-dimensional lattices in F. Analogs of the common cosine transforms of types I-TV are described. Continuous interpolation of the digital data is studied. The properties of two-dimensional generalizations of sine functions that are symmetric or antisymmetric with respect to permutations of their two variables are described. It is shown that the functions are orthogonal when integrated over a finite region F of the real Euclidean space, and that they are discretely orthogonal when summed up over a lattice of any density in F. The decomposability of the products of functions into their sums is shown by explicitly decomposing products of all types. The formalism is set up for Fourier-like expansions of the digital data over two-dimensional lattices in F. Analogs of the common cosine transforms of types I-TV are described. Continuous interpolation of the digital data is studied.
dcterms:title
Two-dimensional symmetric and antisymmetric generalizations of sine functions Two-dimensional symmetric and antisymmetric generalizations of sine functions
skos:prefLabel
Two-dimensional symmetric and antisymmetric generalizations of sine functions Two-dimensional symmetric and antisymmetric generalizations of sine functions
skos:notation
RIV/68407700:21340/10:00172463!RIV11-MSM-21340___
n3:aktivita
n8:S n8:P
n3:aktivity
P(LC06002), S
n3:cisloPeriodika
7
n3:dodaniDat
n14:2011
n3:domaciTvurceVysledku
n17:1785621
n3:druhVysledku
n4:J
n3:duvernostUdaju
n15:S
n3:entitaPredkladatele
n13:predkladatel
n3:idSjednocenehoVysledku
293892
n3:idVysledku
RIV/68407700:21340/10:00172463
n3:jazykVysledku
n5:eng
n3:klicovaSlova
special functions, interpolation
n3:klicoveSlovo
n11:special%20functions n11:interpolation
n3:kodStatuVydavatele
US - Spojené státy americké
n3:kontrolniKodProRIV
[1B27908E944F]
n3:nazevZdroje
Journal of Mathematical Physics
n3:obor
n7:BE
n3:pocetDomacichTvurcuVysledku
1
n3:pocetTvurcuVysledku
3
n3:projekt
n16:LC06002
n3:rokUplatneniVysledku
n14:2010
n3:svazekPeriodika
51
n3:tvurceVysledku
Patera, Jiří Hrivnák, Jiří Motlochová, L.
n3:wos
000280854500036
s:issn
0022-2488
s:numberOfPages
13
n9:organizacniJednotka
21340