Multidimensional trigonometric interpolation

An investigation and construction of trigonometric interpolation polynomials in nonstandard regions, including multiply connected, is carried out. A method of boundary diffeomorphism of the initial region onto a canonical region is proposed and a case of interpolation on a nonuniform net in the initial region is investigated.Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 42, No. 4, pp. 568–571, April, 1990.