"P(LC06002), S" . "7" . "Patera, Ji\u0159\u00ED" . . . "Two-dimensional symmetric and antisymmetric generalizations of sine functions" . "Hrivn\u00E1k, Ji\u0159\u00ED" . "RIV/68407700:21340/10:00172463" . . . "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 . . "21340" . "0022-2488" . . . . "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." . . . "Two-dimensional symmetric and antisymmetric generalizations of sine functions"@en . "3"^^ . "Motlochov\u00E1, L." . "000280854500036" . . "13"^^ . . "US - Spojen\u00E9 st\u00E1ty americk\u00E9" . . "special functions, interpolation"@en . "1"^^ . "51" . "Two-dimensional symmetric and antisymmetric generalizations of sine functions" . "[1B27908E944F]" . "293892" . . "Journal of Mathematical Physics" . . "Two-dimensional symmetric and antisymmetric generalizations of sine functions"@en . "RIV/68407700:21340/10:00172463!RIV11-MSM-21340___" .