Combinatorical and Algebraic Structures Seminar

Session details

Date: 8.12.2009
Speaker: Lenka Motlochová, FJFI, České vysoké učení technické v Praze
Title: Two dimensional symmetric and antisymmetric generalizations of sine functions
Abstract: (spoluautoři: Jiří Hrivnák and Jiří Patera)
Properties of the 2-dimensional generalizations of sine functions, that are symmetric or antisymmetric with respect to permutation 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 $F$. Decomposability of the products of the functions into their sums is shown by explicitly decomposing the products of all types. The formalism is set up for Fourier-like expansions of digital data over the 2-dimensional lattices in $F$. Continuous interpolation of digital data is studied.

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