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Multidimensional integral representa...

Kytmanov, Alexander M.

Multidimensional integral representationsproblems of analytic continuation /

紀錄類型:	書目-電子資源 : Monograph/item
正題名/作者:	Multidimensional integral representationsby Alexander M. Kytmanov, Simona G. Myslivets.
其他題名:	problems of analytic continuation /
作者:	Kytmanov, Alexander M.
其他作者:	Myslivets, Simona G.
出版者:	Cham :Springer International Publishing :2015.
面頁冊數:	xiii, 225 p. :ill., digital ;24 cm.
Contained By:	Springer eBooks
標題:	Bochner-Martinelli representation formula.
電子資源:	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

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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
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