Using algebraic methods, and motivated by the one variable case, we study a multipoint interpolation problem in the setting of several complex variables. The duality realized by the residue generator associated with an underlying Gorenstein algebra, using the Lagrange interpolation polynomial, plays a key role in the arguments.
D. Alpay and A. Yger. About a non-standard interpolation problem. Comput. Methods Funct. Theory, (2019) 19(1):97-115. doi: 10.1007/s40315-018-0255-1