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Multidimensional Integral Representations

Problems of Analytic Continuation

Multidimensional Integral Representations by Alexander M. Kytmanov
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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. This book is a valuable resource for specialists in complex analysis, theoretical physics, as well as graduate and postgraduate students with an understanding of standard university courses in complex, real and functional analysis, as well as algebra and geometry.
Springer International Publishing; September 2015
236 pages; ISBN 9783319216591
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Title: Multidimensional Integral Representations
Author: Alexander M. Kytmanov; Simona G. Myslivets
 
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9783319216584
9783319216591