About: Two-dimensional symmetric and antisymmetric generalizations of sine functions

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rdf:type	skos:Concept http://linked.opendata.cz/ontology/domain/vavai/Vysledek
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. (en)
Title	Two-dimensional symmetric and antisymmetric generalizations of sine functions Two-dimensional symmetric and antisymmetric generalizations of sine functions (en)
skos:prefLabel	Two-dimensional symmetric and antisymmetric generalizations of sine functions Two-dimensional symmetric and antisymmetric generalizations of sine functions (en)
skos:notation	RIV/68407700:21340/10:00172463!RIV11-MSM-21340___
http://linked.open...avai/riv/aktivita	P S
http://linked.open...avai/riv/aktivity	P(LC06002), S
http://linked.open...iv/cisloPeriodika	7
http://linked.open...vai/riv/dodaniDat	2011
http://linked.open...aciTvurceVysledku	Hrivnák, Jiří
http://linked.open.../riv/druhVysledku	J - Článek v odborném periodiku
http://linked.open...iv/duvernostUdaju	S - Úplné a pravdivé údaje nepodléhající ochraně podle zvláštních právních předpisů
http://linked.open...titaPredkladatele	České vysoké učení technické v Praze / Fakulta jaderná a fyzikálně inženýrská
http://linked.open...dnocenehoVysledku	293892
http://linked.open...ai/riv/idVysledku	RIV/68407700:21340/10:00172463
http://linked.open...riv/jazykVysledku	eng - angličtina
http://linked.open.../riv/klicovaSlova	special functions, interpolation (en)
http://linked.open.../riv/klicoveSlovo	special functions interpolation
http://linked.open...odStatuVydavatele	US - Spojené státy americké
http://linked.open...ontrolniKodProRIV	[1B27908E944F]
http://linked.open...i/riv/nazevZdroje	Journal of Mathematical Physics
http://linked.open...in/vavai/riv/obor	BE
http://linked.open...ichTvurcuVysledku	1 (xsd:int)
http://linked.open...cetTvurcuVysledku	3 (xsd:int)
http://linked.open...vavai/riv/projekt	Doppler Institute for Mathematical Physics and Applied Mathematics
http://linked.open...UplatneniVysledku	2010
http://linked.open...v/svazekPeriodika	51
http://linked.open...iv/tvurceVysledku	Hrivnák, Jiří Patera, Jiří Motlochová, L.
http://linked.open...ain/vavai/riv/wos	000280854500036
issn	0022-2488
number of pages	13 (xsd:int)
http://localhost/t...ganizacniJednotka	21340

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