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Multidimensional integral representations[electronic resource] :problems of analytic continuation /

紀錄類型:	書目-語言資料,印刷品 : Monograph/item
杜威分類號:	515.98
書名/作者:	Multidimensional integral representations : problems of analytic continuation // by Alexander M. Kytmanov, Simona G. Myslivets.
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.
標題:	Holomorphic functions.
標題:	Mathematics.
標題:	Several Complex Variables and Analytic Spaces.
ISBN:	9783319216591
ISBN:	9783319216584
內容註:	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.
摘要、提要註:	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.
電子資源:	http://dx.doi.org/10.1007/978-3-319-21659-1

Multidimensional integral representations[electronic resource] :problems 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

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

635673
Bochner-Martinelli representation formula.

LC Class. No.: QA331.7

Dewey Class. No.: 515.98

Multidimensional integral representations[electronic resource] :problems of analytic continuation /
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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.
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