Complex convexity and analytic functionals:
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Basel [u.a.]
Birkhäuser
2004
|
| Series: | Progress in mathematics
225 |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | XI, 160 S. graph. Darst. |
| ISBN: | 3764324201 0817624201 |
Staff View
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| 490 | 1 | |a Progress in mathematics |v 225 | |
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| 650 | 4 | |a Convex domains | |
| 650 | 4 | |a Functionals | |
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Record in the Search Index
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|---|---|
| adam_text | Contents
Introduction vii
1 Convexity in Real Projective Space
1.1 Convexity in real affine space 1
1.2 Real projective space 2
1.3 Convexity in real projective space 5
2 Complex Convexity
2.1 Linearly convex sets 15
2.2 C convexity: Definition and examples 25
2.3 C convexity: Duality and invariance 33
2.4 Open C convex sets 39
2.5 Boundary properties of C convex sets 45
2.6 Spirally connected sets 63
3 Analytic Functionals and the Fantappie Transformation
3.1 The basic pairing in afHne space 74
3.2 The basic pairing in projective space 83
3.3 Analytic functionals in affine space 93
3.4 Analytic functionals in projective space 101
3.5 The Fantappie transformation 107
3.6 Decomposition into partial fractions 115
3.7 Complex Kergin interpolation 120
4 Analytic Solutions to Partial Differential Equations
4.1 Solvability in C convex sets 129
4.2 Solvability and P convexity for carriers 140
References 151
Index 159
|
| any_adam_object | 1 |
| author | Andersson, Mats 1957- |
| author_GND | (DE-588)142058467 (DE-588)133203999 (DE-588)129289043 |
| author_facet | Andersson, Mats 1957- |
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| author_sort | Andersson, Mats 1957- |
| author_variant | m a ma |
| building | Verbundindex |
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| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 516 - Geometry |
| dewey-raw | 516/.08 |
| dewey-search | 516/.08 |
| dewey-sort | 3516 18 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| format | Book |
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| id | DE-604.BV019365279 |
| illustrated | Illustrated |
| indexdate | 2024-07-09T19:58:36Z |
| institution | BVB |
| isbn | 3764324201 0817624201 |
| language | English |
| lccn | 2004047724 |
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| physical | XI, 160 S. graph. Darst. |
| publishDate | 2004 |
| publishDateSearch | 2004 |
| publishDateSort | 2004 |
| publisher | Birkhäuser |
| record_format | marc |
| series | Progress in mathematics |
| series2 | Progress in mathematics |
| spelling | Andersson, Mats 1957- Verfasser (DE-588)142058467 aut Complex convexity and analytic functionals Mats Andersson ; Mikael Passare ; Ragnar Sigurdsson Basel [u.a.] Birkhäuser 2004 XI, 160 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Progress in mathematics 225 Algèbres convexes Analytische functies gtt Convexe functionalen gtt Fonctionnelles Fonctions de plusieurs variables complexes Funções de uma variável complexa (textos avançados) larpcal Convex domains Functionals Functions of several complex variables Konvexe Menge (DE-588)4165212-5 gnd rswk-swf Funktional (DE-588)4155667-7 gnd rswk-swf Komplexer projektiver Raum (DE-588)4164906-0 gnd rswk-swf Komplexe Variable (DE-588)4164905-9 gnd rswk-swf Konvexität (DE-588)4114284-6 gnd rswk-swf Analytische Funktion (DE-588)4142348-3 gnd rswk-swf Komplexer projektiver Raum (DE-588)4164906-0 s Konvexe Menge (DE-588)4165212-5 s Funktional (DE-588)4155667-7 s DE-604 Analytische Funktion (DE-588)4142348-3 s Konvexität (DE-588)4114284-6 s Komplexe Variable (DE-588)4164905-9 s b DE-604 Passare, Mikael 1959-2011 Sonstige (DE-588)133203999 oth Ragnar Sigurdsson 1954- Sonstige (DE-588)129289043 oth Progress in mathematics 225 (DE-604)BV000004120 225 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=012828915&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Andersson, Mats 1957- Complex convexity and analytic functionals Progress in mathematics Algèbres convexes Analytische functies gtt Convexe functionalen gtt Fonctionnelles Fonctions de plusieurs variables complexes Funções de uma variável complexa (textos avançados) larpcal Convex domains Functionals Functions of several complex variables Konvexe Menge (DE-588)4165212-5 gnd Funktional (DE-588)4155667-7 gnd Komplexer projektiver Raum (DE-588)4164906-0 gnd Komplexe Variable (DE-588)4164905-9 gnd Konvexität (DE-588)4114284-6 gnd Analytische Funktion (DE-588)4142348-3 gnd |
| subject_GND | (DE-588)4165212-5 (DE-588)4155667-7 (DE-588)4164906-0 (DE-588)4164905-9 (DE-588)4114284-6 (DE-588)4142348-3 |
| 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 Mats Andersson ; Mikael Passare ; Ragnar Sigurdsson |
| title_fullStr | Complex convexity and analytic functionals Mats Andersson ; Mikael Passare ; Ragnar Sigurdsson |
| title_full_unstemmed | Complex convexity and analytic functionals Mats Andersson ; Mikael Passare ; Ragnar Sigurdsson |
| title_short | Complex convexity and analytic functionals |
| title_sort | complex convexity and analytic functionals |
| topic | Algèbres convexes Analytische functies gtt Convexe functionalen gtt Fonctionnelles Fonctions de plusieurs variables complexes Funções de uma variável complexa (textos avançados) larpcal Convex domains Functionals Functions of several complex variables Konvexe Menge (DE-588)4165212-5 gnd Funktional (DE-588)4155667-7 gnd Komplexer projektiver Raum (DE-588)4164906-0 gnd Komplexe Variable (DE-588)4164905-9 gnd Konvexität (DE-588)4114284-6 gnd Analytische Funktion (DE-588)4142348-3 gnd |
| topic_facet | Algèbres convexes Analytische functies Convexe functionalen Fonctionnelles Fonctions de plusieurs variables complexes Funções de uma variável complexa (textos avançados) Convex domains Functionals Functions of several complex variables Konvexe Menge Funktional Komplexer projektiver Raum Komplexe Variable Konvexität Analytische Funktion |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=012828915&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV000004120 |
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