Оператори двовимірного фінітного дискретно-неперервного перетворення Фур'є на основі сплайнів першого степеня, точні на тригонометричних поліномах заданого порядку

Abstract

The operators of calculation of two-dimensional finite discretery-continuous Fourier Transform on the basis of splines of the first degree were in vestigated. These operators are precise on trigonometric polynomials of corresponding degree. Their interpolation properties are researched. The estimation of error approximating of complex functions of two real variables by the offered operators is given. The example is given