Complex Convexity and Analytic Functionals:
Saved in:
| Main Author: | |
|---|---|
| Format: | Electronic eBook |
| Language: | English |
| Published: |
Basel
Birkhäuser Basel
2004
|
| Series: | Progress in Mathematics
225 |
| Subjects: | |
| Online Access: | Volltext |
| Item Description: | A set in complex Euclidean space is called C-convex if all its intersections with complex lines are contractible, and it is said to be linearly convex if its complement is a union of complex hyperplanes. These notions are intermediates between ordinary geometric convexity and pseudoconvexity. Their importance was first manifested in the pioneering work of André Martineau from about forty years ago. Since then a large number of new related results have been obtained by many different mathematicians. The present book puts the modern theory of complex linear convexity on a solid footing, and gives a thorough and up-to-date survey of its current status. Applications include the Fantappié transformation of analytic functionals, integral representation formulas, polynomial interpolation, and solutions to linear partial differential equations |
| Physical Description: | 1 Online-Ressource (XI, 164 p) |
| ISBN: | 9783034878715 9783034896054 |
| DOI: | 10.1007/978-3-0348-7871-5 |
Staff View
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| id | DE-604.BV042421973 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T01:21:10Z |
| institution | BVB |
| isbn | 9783034878715 9783034896054 |
| language | English |
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| physical | 1 Online-Ressource (XI, 164 p) |
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| spelling | Andersson, Mats Verfasser aut Complex Convexity and Analytic Functionals by Mats Andersson, Ragnar Sigurdsson, Mikael Passare Basel Birkhäuser Basel 2004 1 Online-Ressource (XI, 164 p) txt rdacontent c rdamedia cr rdacarrier Progress in Mathematics 225 A set in complex Euclidean space is called C-convex if all its intersections with complex lines are contractible, and it is said to be linearly convex if its complement is a union of complex hyperplanes. These notions are intermediates between ordinary geometric convexity and pseudoconvexity. Their importance was first manifested in the pioneering work of André Martineau from about forty years ago. Since then a large number of new related results have been obtained by many different mathematicians. The present book puts the modern theory of complex linear convexity on a solid footing, and gives a thorough and up-to-date survey of its current status. Applications include the Fantappié transformation of analytic functionals, integral representation formulas, polynomial interpolation, and solutions to linear partial differential equations Mathematics Functional analysis Functions of complex variables Differential equations, partial Discrete groups Functional Analysis Functions of a Complex Variable Partial Differential Equations Convex and Discrete Geometry Mathematik Analytische Funktion (DE-588)4142348-3 gnd rswk-swf Konvexität (DE-588)4114284-6 gnd rswk-swf Komplexer projektiver Raum (DE-588)4164906-0 gnd rswk-swf Konvexe Menge (DE-588)4165212-5 gnd rswk-swf Komplexe Variable (DE-588)4164905-9 gnd rswk-swf Funktional (DE-588)4155667-7 gnd rswk-swf Komplexer projektiver Raum (DE-588)4164906-0 s Konvexe Menge (DE-588)4165212-5 s Funktional (DE-588)4155667-7 s 1\p DE-604 Analytische Funktion (DE-588)4142348-3 s Konvexität (DE-588)4114284-6 s Komplexe Variable (DE-588)4164905-9 s 2\p DE-604 Sigurdsson, Ragnar Sonstige oth Passare, Mikael Sonstige oth https://doi.org/10.1007/978-3-0348-7871-5 Verlag Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 2\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Andersson, Mats Complex Convexity and Analytic Functionals Mathematics Functional analysis Functions of complex variables Differential equations, partial Discrete groups Functional Analysis Functions of a Complex Variable Partial Differential Equations Convex and Discrete Geometry Mathematik Analytische Funktion (DE-588)4142348-3 gnd Konvexität (DE-588)4114284-6 gnd Komplexer projektiver Raum (DE-588)4164906-0 gnd Konvexe Menge (DE-588)4165212-5 gnd Komplexe Variable (DE-588)4164905-9 gnd Funktional (DE-588)4155667-7 gnd |
| subject_GND | (DE-588)4142348-3 (DE-588)4114284-6 (DE-588)4164906-0 (DE-588)4165212-5 (DE-588)4164905-9 (DE-588)4155667-7 |
| title | Complex Convexity and Analytic Functionals |
| title_auth | Complex Convexity and Analytic Functionals |
| title_exact_search | Complex Convexity and Analytic Functionals |
| title_full | Complex Convexity and Analytic Functionals by Mats Andersson, Ragnar Sigurdsson, Mikael Passare |
| title_fullStr | Complex Convexity and Analytic Functionals by Mats Andersson, Ragnar Sigurdsson, Mikael Passare |
| title_full_unstemmed | Complex Convexity and Analytic Functionals by Mats Andersson, Ragnar Sigurdsson, Mikael Passare |
| title_short | Complex Convexity and Analytic Functionals |
| title_sort | complex convexity and analytic functionals |
| topic | Mathematics Functional analysis Functions of complex variables Differential equations, partial Discrete groups Functional Analysis Functions of a Complex Variable Partial Differential Equations Convex and Discrete Geometry Mathematik Analytische Funktion (DE-588)4142348-3 gnd Konvexität (DE-588)4114284-6 gnd Komplexer projektiver Raum (DE-588)4164906-0 gnd Konvexe Menge (DE-588)4165212-5 gnd Komplexe Variable (DE-588)4164905-9 gnd Funktional (DE-588)4155667-7 gnd |
| topic_facet | Mathematics Functional analysis Functions of complex variables Differential equations, partial Discrete groups Functional Analysis Functions of a Complex Variable Partial Differential Equations Convex and Discrete Geometry Mathematik Analytische Funktion Konvexität Komplexer projektiver Raum Konvexe Menge Komplexe Variable Funktional |
| url | https://doi.org/10.1007/978-3-0348-7871-5 |
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