Multidimensional Integral Representations (eBook)

Problems of Analytic Continuation

Alexander M. Kytmanov, Simona G. Myslivets (Autoren)

eBook Download: PDF

2015 | 1st ed. 2015
225 Seiten
Springer International Publishing (Verlag)
9783319216591 (ISBN)

Infos

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.

Inhalt

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.

Produkt-Details

• Erscheint lt. Verlag: 9.9.2015
• Zusatzinfo: XIII, 225 p.
• Verlagsort: Cham
• Sprache: englisch
• Themenwelt: Mathematik / Informatik ► Mathematik
• Themenwelt: Technik
• Schlagworte: analytic continuation • Bochner-Martinelli integral • boundary Morera theorem • boundary values of integral formulas • integral representation
• ISBN-13: 9783319216591 / 9783319216591