Multidimensional Integral Representations: Problems of Analytic Continuation - Couverture souple

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

Couverture souple

ISBN 10 : 3319374001 ISBN 13 : 9783319374000

Editeur : Springer, 2016

Synopsis

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.

Détails de l'édition

• Éditeur: Springer
• Date d'édition: 2016
• Langue: anglais
• ISBN 10: 3319374001
• ISBN 13: 9783319374000
• Reliure: Broché
• Nombre de pages: 240
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