Multidimensional Integral Representations: Problems of Analytic Continuation

Kytmanov, Alexander M. M.; Myslivets, Simona G.

ISBN 10: 3319374001 ISBN 13: 9783319374000

Verlag: Springer, 2016

Sprache: Englisch

Zustand: Neu Softcover

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Bibliografische Details

Titel

Multidimensional Integral Representations: Problems of Analytic Continuation

Verlag

Springer

Erscheinungsjahr

2016

Sprache

Englisch

ISBN-10

3319374001

ISBN-13

9783319374000

Einband

Softcover

Zustand

New

Verk�uferkataloge

�ber diesen Titel

Inhaltsangabe

The monograph is devoted to integral representations for holomorphic functions in several complex variables, such as Bochner-Martinelli, Cauchy-Fantappi�, 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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The monograph is devoted to integral representations for holomorphic functions in several complex variables, such as Bochner-Martinelli, Cauchy-Fantappi�, 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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