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Multidimensional Integral Representations
Kytmanov, Alexander M.; Myslivets, Simona G.
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Description for Multidimensional Integral Representations
Hardback. Num Pages: 238 pages, biography. BIC Classification: PBKD. Category: (P) Professional & Vocational. Dimension: 235 x 155 x 14. Weight in Grams: 526.
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 ... Read more
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 ... Read more
Product Details
Format
Hardback
Publication date
2015
Publisher
Springer International Publishing AG Switzerland
Number of pages
238
Condition
New
Number of Pages
225
Place of Publication
Cham, Switzerland
ISBN
9783319216584
SKU
V9783319216584
Shipping Time
Usually ships in 15 to 20 working days
Ref
99-15
Reviews for Multidimensional Integral Representations
“The monograph is essentially self-contained, requiring knowledge only of the contents of a basic course in several complex variables, this making it suitable for a graduate students seminar and independent study. The material is well organized and its presentation is lucid.” (Alekos Vidras, Mathematical Reviews, July, 2016) “The monograph is based on recent results obtained by the authors. … ... Read more