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Multidimensional Integral Representations

Multidimensional Integral Representations

Problems of Analytic Continuation

by Simona G. Myslivets and Alexander M. Kytmanov
Paperback
Publication Date: 22/10/2016
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The monograph is devoted to integral representations for holomorphic functions in several complex variables, such as Bochner-Martinelli, Cauchy-Fantappie, 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.
ISBN:
9783319374000
9783319374000
Category:
Complex analysis
Format:
Paperback
Publication Date:
22-10-2016
Publisher:
Springer International Publishing AG
Country of origin:
Switzerland
Pages:
225
Dimensions (mm):
235x155x13mm
Weight:
3.69kg

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