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Multidimensional integral representations = problems of analytic continuation /

Record Type:	Language materials, printed : Monograph/item
Title/Author:	Multidimensional integral representations/ by Alexander M. Kytmanov, Simona G. Myslivets.
Reminder of title:	problems of analytic continuation /
Author:	Kytmanov, Alexander M.
other author:	Myslivets, Simona G.
Published:	Cham :Imprint: Springer, : 2015.,
Description:	xiii, 225 p. :ill., digital ; : 24 cm.;
Contained By:	Springer eBooks
Subject:	Several Complex Variables and Analytic Spaces. -
Online resource:	http://dx.doi.org/10.1007/978-3-319-21659-1
ISBN:	9783319216591

Multidimensional integral representations = problems of analytic continuation /
Kytmanov, Alexander M.

Multidimensional integral representationsproblems of analytic continuation /[electronic resource] :by Alexander M. Kytmanov, Simona G. Myslivets. - Cham :Imprint: Springer,2015. - xiii, 225 p. :ill., digital ;24 cm.

Preface. 1 Multidimensional Integral Representations -- 2 Properties of the Bochner-Martinelli Integral and the Logarithmic Residue Formula -- 3 On the Multidimensional Boundary Analogue of the Morera Theorem -- 4 Functions with the One-dimensional Holomorphic Extension Property -- References -- Index.

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: 9783319216591

Standard No.: 10.1007/978-3-319-21659-1doiSubjects--Topical Terms:

672032
Several Complex Variables and Analytic Spaces.

LC Class. No.: QA331.7

Dewey Class. No.: 515.98

Multidimensional integral representations = problems of analytic continuation /
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245 1 0 $a Multidimensional integral representations $h [electronic resource] : $b problems of analytic continuation / $c by Alexander M. Kytmanov, Simona G. Myslivets.
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300 $a xiii, 225 p. : $b ill., digital ; $c 24 cm.
505 0 $a Preface. 1 Multidimensional Integral Representations -- 2 Properties of the Bochner-Martinelli Integral and the Logarithmic Residue Formula -- 3 On the Multidimensional Boundary Analogue of the Morera Theorem -- 4 Functions with the One-dimensional Holomorphic Extension Property -- References -- Index.
520 $a 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.
650 2 4 $a Several Complex Variables and Analytic Spaces. $3 672032
650 1 4 $a Mathematics. $3 527692
650 0 $a Holomorphic functions. $3 672030
650 0 $a Bochner-Martinelli representation formula. $3 1069858
700 1 $a Myslivets, Simona G. $3 1069857
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950 $a Mathematics and Statistics (Springer-11649)