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Multidimensional integral representa...

Kytmanov, Alexander M.

Multidimensional integral representationsproblems of analytic continuation /

Record Type:	Electronic resources : Monograph/item
Title/Author:	Multidimensional integral representationsby Alexander M. Kytmanov, Simona G. Myslivets.
Reminder of title:	problems of analytic continuation /
Author:	Kytmanov, Alexander M.
other author:	Myslivets, Simona G.
Published:	Cham :Springer International Publishing :2015.
Description:	xiii, 225 p. :ill., digital ;24 cm.
Contained By:	Springer eBooks
Subject:	Bochner-Martinelli representation formula.
Online resource:	http://dx.doi.org/10.1007/978-3-319-21659-1
ISBN:	9783319216591$q(electronic bk.)

Multidimensional integral representationsproblems of analytic continuation /
Kytmanov, Alexander M.

Multidimensional integral representationsproblems of analytic continuation /[electronic resource] :by Alexander M. Kytmanov, Simona G. Myslivets. - Cham :Springer International Publishing :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$q(electronic bk.)

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

731741
Bochner-Martinelli representation formula.

LC Class. No.: QA331.7

Dewey Class. No.: 515.98

Multidimensional integral representationsproblems of analytic continuation /
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100 1 $a Kytmanov, Alexander M. $3 731739
245 1 0 $a Multidimensional integral representations $h [electronic resource] : $b problems of analytic continuation / $c by Alexander M. Kytmanov, Simona G. Myslivets.
260 $a Cham : $b Springer International Publishing : $b Imprint: Springer, $c 2015.
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 0 $a Bochner-Martinelli representation formula. $3 731741
650 0 $a Holomorphic functions. $3 275778
650 1 4 $a Mathematics. $3 184409
650 2 4 $a Several Complex Variables and Analytic Spaces. $3 276692
700 1 $a Myslivets, Simona G. $3 731740
710 2 $a SpringerLink (Online service) $3 273601
773 0 $t Springer eBooks
856 4 0 $u http://dx.doi.org/10.1007/978-3-319-21659-1
950 $a Mathematics and Statistics (Springer-11649)