Multidimensional Integral Representations: Problems of Analytic Continuation - Hardcover

Kytmanov, Alexander M.; Myslivets, Simona G.

 
9783319216584: Multidimensional Integral Representations: Problems of Analytic Continuation
Hardcover
ISBN 10: 3319216589 ISBN 13: 9783319216584
Verlag: Springer, 2015

Inhaltsangabe

The monograph is devoted to integral representations for holomorphic functions in several complex variables, such as Bochner-Martinelli, Cauchy-Fantappiè, 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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Von der hinteren Coverseite

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

„Über diesen Titel“ kann sich auf eine andere Ausgabe dieses Titels beziehen.

Verlag
Springer
Erscheinungsdatum
2015
Sprache
Englisch
ISBN 10 
3319216589
ISBN 13 
9783319216584
Einband
Gebundene Ausgabe
Auflage
1
Anzahl der Seiten
238
Kontakt zum Hersteller
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Darmstadt
64293
Deutschland

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9783319374000: Multidimensional Integral Representations: Problems of Analytic Continuation

Vorgestellte Ausgabe

ISBN 10:  3319374001 ISBN 13:  9783319374000
Verlag: Springer, 2016
Softcover