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Multidimensional Integral Representations:Problems of Analytic Continuation

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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.

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Detail Information

Series Title

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Call Number

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Publisher

: ., 2015

Collation

XIII, 225

Language

English

ISBN/ISSN

978-3-319-21658-4

Classification

NONE

Content Type

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Media Type

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Carrier Type

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Edition

1

Subject(s)

Several Complex Variables and Analytic Spaces

Specific Detail Info

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Statement of Responsibility

Alexander M. Kytmanov , Simona G. Myslivets

Other Information

Cataloger

Fandi

Source

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