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.
Inhoudsopgave
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.
Taal Engels ● Formaat PDF ● Pagina’s 225 ● ISBN 9783319216591 ● Bestandsgrootte 2.3 MB ● Uitgeverij Springer International Publishing ● Stad Cham ● Land CH ● Gepubliceerd 2015 ● Downloadbare 24 maanden ● Valuta EUR ● ID 4499748 ● Kopieerbeveiliging Sociale DRM