Title: Residues without duality

Author: Michael M. Vinogradov

The aim of this paper is to suggest an approach to constructing a residue theory. In particular, this approach may be used in the case of infinite-dimensional algebra of differential forms.

To appear in Acta Applicandae Math.

9 pages. AmS-TeX, XYPic.To compile source files (.tex) one needs the title page style files titams.tex.