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Multidimensional Integral Representations Problems of Analytic Continuation /
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 contin...
| Clasificación: | Libro Electrónico |
|---|---|
| Autores principales: | , |
| Autor Corporativo: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Cham :
Springer International Publishing : Imprint: Springer,
2015.
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| Edición: | 1st ed. 2015. |
| Temas: | |
| Acceso en línea: | Texto Completo |
MARC
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|---|---|---|---|
| 001 | 978-3-319-21659-1 | ||
| 003 | DE-He213 | ||
| 005 | 20220119034954.0 | ||
| 007 | cr nn 008mamaa | ||
| 008 | 150909s2015 sz | s |||| 0|eng d | ||
| 020 | |a 9783319216591 |9 978-3-319-21659-1 | ||
| 024 | 7 | |a 10.1007/978-3-319-21659-1 |2 doi | |
| 050 | 4 | |a QA331.7 | |
| 072 | 7 | |a PBKD |2 bicssc | |
| 072 | 7 | |a MAT034000 |2 bisacsh | |
| 072 | 7 | |a PBKD |2 thema | |
| 082 | 0 | 4 | |a 515.94 |2 23 |
| 100 | 1 | |a Kytmanov, Alexander M. |e author. |4 aut |4 http://id.loc.gov/vocabulary/relators/aut | |
| 245 | 1 | 0 | |a Multidimensional Integral Representations |h [electronic resource] : |b Problems of Analytic Continuation / |c by Alexander M. Kytmanov, Simona G. Myslivets. |
| 250 | |a 1st ed. 2015. | ||
| 264 | 1 | |a Cham : |b Springer International Publishing : |b Imprint: Springer, |c 2015. | |
| 300 | |a XIII, 225 p. |b online resource. | ||
| 336 | |a text |b txt |2 rdacontent | ||
| 337 | |a computer |b c |2 rdamedia | ||
| 338 | |a online resource |b cr |2 rdacarrier | ||
| 347 | |a text file |b PDF |2 rda | ||
| 505 | 0 | |a 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. | |
| 520 | |a 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. | ||
| 650 | 0 | |a Functions of complex variables. | |
| 650 | 1 | 4 | |a Several Complex Variables and Analytic Spaces. |
| 700 | 1 | |a Myslivets, Simona G. |e author. |4 aut |4 http://id.loc.gov/vocabulary/relators/aut | |
| 710 | 2 | |a SpringerLink (Online service) | |
| 773 | 0 | |t Springer Nature eBook | |
| 776 | 0 | 8 | |i Printed edition: |z 9783319216584 |
| 776 | 0 | 8 | |i Printed edition: |z 9783319216607 |
| 776 | 0 | 8 | |i Printed edition: |z 9783319374000 |
| 856 | 4 | 0 | |u https://doi.uam.elogim.com/10.1007/978-3-319-21659-1 |z Texto Completo |
| 912 | |a ZDB-2-SMA | ||
| 912 | |a ZDB-2-SXMS | ||
| 950 | |a Mathematics and Statistics (SpringerNature-11649) | ||
| 950 | |a Mathematics and Statistics (R0) (SpringerNature-43713) | ||