Multidimensional Integral Representations

Problems of Analytic Continuation

Nonfiction, Science & Nature, Mathematics, Mathematical Analysis
Cover of the book Multidimensional Integral Representations by Simona G. Myslivets, Alexander M. Kytmanov, Springer International Publishing
View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart
Author: Simona G. Myslivets, Alexander M. Kytmanov ISBN: 9783319216591
Publisher: Springer International Publishing Publication: September 9, 2015
Imprint: Springer Language: English
Author: Simona G. Myslivets, Alexander M. Kytmanov
ISBN: 9783319216591
Publisher: Springer International Publishing
Publication: September 9, 2015
Imprint: Springer
Language: English

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.

View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart

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.

More books from Springer International Publishing

Cover of the book Dance Matters in Ireland by Simona G. Myslivets, Alexander M. Kytmanov
Cover of the book Pre-Inca and Inca Pottery by Simona G. Myslivets, Alexander M. Kytmanov
Cover of the book Image and Graphics by Simona G. Myslivets, Alexander M. Kytmanov
Cover of the book Dimensional Analysis Beyond the Pi Theorem by Simona G. Myslivets, Alexander M. Kytmanov
Cover of the book Building Peace Through Knowledge by Simona G. Myslivets, Alexander M. Kytmanov
Cover of the book Modelling and Simulation for Autonomous Systems by Simona G. Myslivets, Alexander M. Kytmanov
Cover of the book Negotiating Reconciliation in Peacemaking by Simona G. Myslivets, Alexander M. Kytmanov
Cover of the book Toward Information Justice by Simona G. Myslivets, Alexander M. Kytmanov
Cover of the book University of Toronto Mathematics Competition (2001–2015) by Simona G. Myslivets, Alexander M. Kytmanov
Cover of the book Enhancing Participation in the Arts in the EU by Simona G. Myslivets, Alexander M. Kytmanov
Cover of the book Formal Verification of Simulink/Stateflow Diagrams by Simona G. Myslivets, Alexander M. Kytmanov
Cover of the book 9th International Symposium on High-Temperature Metallurgical Processing by Simona G. Myslivets, Alexander M. Kytmanov
Cover of the book Cognitive Neuroscience of Memory Consolidation by Simona G. Myslivets, Alexander M. Kytmanov
Cover of the book Between Globalization and Integration by Simona G. Myslivets, Alexander M. Kytmanov
Cover of the book Networked Cancer by Simona G. Myslivets, Alexander M. Kytmanov
We use our own "cookies" and third party cookies to improve services and to see statistical information. By using this website, you agree to our Privacy Policy