Multidimensional Integral Representations: Problems of Analytic Continuation by Alexander M. Kytmanov, Simona G. Myslivets
English | EPUB | 2015 | 225 Pages | ISBN : 3319216589 | 3.7 MB
The monograph is devoted to integral representations for holomorphic functions in several complex variables, such as Bochner-Martinelli, Cauchy-Fantappiè, Koppelman, multidimensional logarithmic residue etc., and their boundary properties. The applications considered are problems of analytic continuation of functions from the boundary of a bounded domain in C^n. In contrast to the well-known Hartogs-Bochner theorem, this book investigates functions with the one-dimensional property of holomorphic extension along complex lines, and includes the problems of receiving multidimensional boundary analogs of the Morera theorem.
