Translated from the Russian.

Includes bibliographical references.

Multidimensional analogues of Carleman's formula with integration over boundary sets of maximal dimension;Blaschke's condition and the zeros of bounded holomorphic functions;On an algebraic cone in ^6 connected with rational curves;The Cauchy-Fantappi�e formula on projective space;Application of the Fourier method to the solution of boundary value problems for functions analytic in disk bidomains;On the topology of certain complex homogeneous spaces;CR-mappings of manifolds of codimension 2;Entire functions on ^n that are quasipolynomials with respect to one of the variables;Defect hyperplanes of holomorphic mappings;On Poincar�e duality for elliptic complexes;A remark on Taylor series of harmonic functions;Use of residues to compute the sum of the squares of the Taylor coefficients of a rational function of two variables;On the separation of analytic singularities and the decomposition of holomorphic functions of variables into partial fractions;Some multidimensional estimates of conditional stability in the problem of analytic continuation from a subdomain of the domain of regularity;A counterexample to two problems of Kobayashi