Considers the problem of characterizing the exterior differential forms which are orthogonal to holomorphic functions (or forms) in a domain $Dsubset {mathbf C}^n$ with respect to integration over the boundary, and some related questions.

Deals with integral representations of holomorphic functions of several complex variables, the multidimensional logarithmic residue, and the theory of multidimensional residues. This book is suitable for specialists in theoretical and applied mathematics a