Lectures on counterexamples in several complex variables:
Gespeichert in:
| Hauptverfasser: | , |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Providence, RI
AMS Chelsea Publishing
2007
|
| Ausgabe: | Reprint. |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | 247 Seiten graph. Darst. |
| ISBN: | 9780821844229 0821844229 |
Internformat
MARC
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| 100 | 1 | |a Fornaess, John Erik |d 1946- |e Verfasser |0 (DE-588)138683395 |4 aut | |
| 245 | 1 | 0 | |a Lectures on counterexamples in several complex variables |c John Erik Fornæss, Berit Stensønes |
| 250 | |a Reprint. | ||
| 264 | 1 | |a Providence, RI |b AMS Chelsea Publishing |c 2007 | |
| 300 | |a 247 Seiten |b graph. Darst. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 650 | 4 | |a Functions of several complex variables | |
| 650 | 0 | 7 | |a Gegenbeispiel |0 (DE-588)4214218-0 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Funktion |g Mathematik |0 (DE-588)4071510-3 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Funktionentheorie |0 (DE-588)4018935-1 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Mehrere komplexe Variable |0 (DE-588)4169285-8 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Mehrere Variable |0 (DE-588)4277015-4 |2 gnd |9 rswk-swf |
| 689 | 0 | 0 | |a Funktionentheorie |0 (DE-588)4018935-1 |D s |
| 689 | 0 | 1 | |a Mehrere Variable |0 (DE-588)4277015-4 |D s |
| 689 | 0 | 2 | |a Gegenbeispiel |0 (DE-588)4214218-0 |D s |
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| 689 | 1 | 2 | |a Gegenbeispiel |0 (DE-588)4214218-0 |D s |
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Datensatz im Suchindex
| _version_ | 1804137320516943872 |
|---|---|
| adam_text | TABLE
OF
CONTENTS
Introduction
Lecture
1:
Some
Notations
and Definitions
.............. 2
2:
Holomorphic
Functions
................... 6
3:
Holomorphic
Convexity and
Domains
of Holomorphy
...... 11
U:
Stein Manifolds
......................
IŢ
5:
Subharmonic
Functions
................... 21
6:
Subharmonic Functions
(cont.)
............... 26
7:
Subharmonic Functions
(cont.)
............... 31
Plurisubharmonic Functions
................
3I+
Θ:
Plurisubharmonic Functions
(cont.)
............ 37
9:
Pseudoconvex Domains
...................
k2
10:
Pseudoconvex Domains
(cont.)
...............
U6
11:
Pseudoconvex Domains
(cont.)
..... .......... 50
12;
Invariant Metrics
..................... 55
13:
Biholomorphic Maps
....................
60
Ik: Counterexamples to Smoothing of Plurisubharmonic
Functions
......................... 66
15:
Counterexamples to Smoothing of Plurisubharmonic
Functions
(cont.)
..................... 69
16:
Counterexamples to Smoothing of Plurisubharmonic
Functions
(cont.)
..................... 73
IT: Counterexamples to Smoothing of Plurisubharmonic
Functions
(cont.)
..................... 79
18:
Complex
Monge
Ampere Equation
...............
8З
19:
H^-Convexity
.......................· 87
20:
CB-Manifolds
....................... 91
21:
CB-Manifolds
(cont.)
................... 95
22:
CE-Manifolds
(cont.)
...................100
Lecture
23;
Pseudoconvex
Domains
without Pseudoconvex
Exhaustion
. . . 102
Zk:
Stein Neighborhood Basis
................. 105
25:
Stein Neighborhood Basis
(cont.)
..... ........ 109
2б:
Stein Neighborhood Basis
(cont.)
............. 113
2Ţ
:
Riemann Domains over
Œ
................. 115
28:
The Kohn-Nirenberg Example
................ 119
29:
Peak Points
....................... 123
30:
Bloom s Example
..................... 126
31;
D Angelo s Example
.................... 129
32:
Integral Manifolds
.................... 133
33:
Peak Sets for A(D)
.................... 138
3U: Peak Sets. Step
1....................
lUl
35:
Peak Sets. Step
2.................... 1^5
36:
Peak Sets. Step
3....................
lU8
37:
Peak Sets. Step
Ił
.................... 159
38:
Sup-Norm Estimates for the
ІГ
-Equation
..........
1Ő5
39:
Sibony s
Т
-Example....................
168
UO: Hypoellipticity for
І
.................. 17^
Ul:
Inner Functions
..................... 178
U2: Inner Functions
(cont.)
..................
l8U
U3: Large Maximum Modulus Sets
................ 189
kk: Zero Sets
........................
I9U
U5: Hontangential Boundary Limits of Functions in H°°(Bn)
. . . 202
U6: Wermer s Example
..................... 212
U7: The Union Problem
....................
2lU
U8: Riemann Domains
..................... 218
U9:
Runge
Exhaustion
..................... 222
Lecture
SO: Runge
Exhaustion
(cont.)
................. 227
Şl;
Peak Sets in Weakly Pseudoconvex Boundaries
....... 229
52;
Peak Sets in Weakly Pseudoconvex Boundaries
(cont.)
. . . 23^
53;
The Kobayashi Metric
................... 236
Bibliography
............................. 2^2
|
| adam_txt |
TABLE
OF
CONTENTS
Introduction
Lecture
1:
Some
Notations
and Definitions
. 2
2:
Holomorphic
Functions
. 6
3:
Holomorphic
Convexity and
Domains
of Holomorphy
. 11
U:
Stein Manifolds
.
IŢ
5:
Subharmonic
Functions
. 21
6:
Subharmonic Functions
(cont.)
. 26
7:
Subharmonic Functions
(cont.)
. 31
Plurisubharmonic Functions
.
3I+
Θ:
Plurisubharmonic Functions
(cont.)
. 37
9:
Pseudoconvex Domains
.
k2
10:
Pseudoconvex Domains
(cont.)
.
U6
11:
Pseudoconvex Domains
(cont.)
. . 50
12;
Invariant Metrics
. 55
13:
Biholomorphic Maps
.
60
Ik: Counterexamples to Smoothing of Plurisubharmonic
Functions
. 66
15:
Counterexamples to Smoothing of Plurisubharmonic
Functions
(cont.)
. 69
16:
Counterexamples to Smoothing of Plurisubharmonic
Functions
(cont.)
. 73
IT: Counterexamples to Smoothing of Plurisubharmonic
Functions
(cont.)
. 79
18:
Complex
Monge
Ampere Equation
.
8З
19:
H^-Convexity
.· 87
20:
CB-Manifolds
. 91
21:
CB-Manifolds
(cont.)
. 95
22:
CE-Manifolds
(cont.)
.100
Lecture
23;
Pseudoconvex
Domains
without Pseudoconvex
Exhaustion
. . . 102
Zk:
Stein Neighborhood Basis
. 105
25:
Stein Neighborhood Basis
(cont.)
. . 109
2б:
Stein Neighborhood Basis
(cont.)
. 113
2Ţ
:
Riemann Domains over
Œ
. 115
28:
The Kohn-Nirenberg Example
. 119
29:
Peak Points
. 123
30:
Bloom's Example
. 126
31;
D'Angelo's Example
. 129
32:
Integral Manifolds
. 133
33:
Peak Sets for A(D)
. 138
3U: Peak Sets. Step
1.
lUl
35:
Peak Sets. Step
2. 1^5
36:
Peak Sets. Step
3.
lU8
37:
Peak Sets. Step
Ił
. 159
38:
Sup-Norm Estimates for the
"ІГ
-Equation
.
1Ő5
39:
Sibony's
Т
-Example.
168
UO: Hypoellipticity for
І"
. 17^
Ul:
Inner Functions
. 178
U2: Inner Functions
(cont.)
.
l8U
U3: Large Maximum Modulus Sets
. 189
kk: Zero Sets
.
I9U
U5: Hontangential Boundary Limits of Functions in H°°(Bn)
. . . 202
U6: Wermer's Example
. 212
U7: The Union Problem
.
2lU
U8: Riemann Domains
. 218
U9:
Runge
Exhaustion
. 222
Lecture
SO: Runge
Exhaustion
(cont.)
. 227
Şl;
Peak Sets in Weakly Pseudoconvex Boundaries
. 229
52;
Peak Sets in Weakly Pseudoconvex Boundaries
(cont.)
. . . 23^
53;
The Kobayashi Metric
. 236
Bibliography
. 2^2 |
| any_adam_object | 1 |
| any_adam_object_boolean | 1 |
| author | Fornaess, John Erik 1946- Stensønes, Berit 1956- |
| author_GND | (DE-588)138683395 (DE-588)138683492 |
| author_facet | Fornaess, John Erik 1946- Stensønes, Berit 1956- |
| author_role | aut aut |
| author_sort | Fornaess, John Erik 1946- |
| author_variant | j e f je jef b s bs |
| building | Verbundindex |
| bvnumber | BV023075326 |
| callnumber-first | Q - Science |
| callnumber-label | QA331 |
| callnumber-raw | QA331 |
| callnumber-search | QA331 |
| callnumber-sort | QA 3331 |
| callnumber-subject | QA - Mathematics |
| classification_rvk | SK 750 SK 780 |
| ctrlnum | (OCoLC)145431817 (DE-599)BSZ278033423 |
| dewey-full | 515/.94 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 515 - Analysis |
| dewey-raw | 515/.94 |
| dewey-search | 515/.94 |
| dewey-sort | 3515 294 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| discipline_str_mv | Mathematik |
| edition | Reprint. |
| format | Book |
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| id | DE-604.BV023075326 |
| illustrated | Illustrated |
| index_date | 2024-07-02T19:34:51Z |
| indexdate | 2024-07-09T21:10:25Z |
| institution | BVB |
| isbn | 9780821844229 0821844229 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-016278433 |
| oclc_num | 145431817 |
| open_access_boolean | |
| owner | DE-703 DE-634 DE-188 DE-523 DE-824 |
| owner_facet | DE-703 DE-634 DE-188 DE-523 DE-824 |
| physical | 247 Seiten graph. Darst. |
| publishDate | 2007 |
| publishDateSearch | 2007 |
| publishDateSort | 2007 |
| publisher | AMS Chelsea Publishing |
| record_format | marc |
| spelling | Fornaess, John Erik 1946- Verfasser (DE-588)138683395 aut Lectures on counterexamples in several complex variables John Erik Fornæss, Berit Stensønes Reprint. Providence, RI AMS Chelsea Publishing 2007 247 Seiten graph. Darst. txt rdacontent n rdamedia nc rdacarrier Functions of several complex variables Gegenbeispiel (DE-588)4214218-0 gnd rswk-swf Funktion Mathematik (DE-588)4071510-3 gnd rswk-swf Funktionentheorie (DE-588)4018935-1 gnd rswk-swf Mehrere komplexe Variable (DE-588)4169285-8 gnd rswk-swf Mehrere Variable (DE-588)4277015-4 gnd rswk-swf Funktionentheorie (DE-588)4018935-1 s Mehrere Variable (DE-588)4277015-4 s Gegenbeispiel (DE-588)4214218-0 s DE-604 Funktion Mathematik (DE-588)4071510-3 s Mehrere komplexe Variable (DE-588)4169285-8 s 1\p DE-604 2\p DE-604 Stensønes, Berit 1956- Verfasser (DE-588)138683492 aut Erscheint auch als Online-Ausgabe 978-1-4704-3120-4 Digitalisierung UB Bayreuth application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=016278433&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis 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 | Fornaess, John Erik 1946- Stensønes, Berit 1956- Lectures on counterexamples in several complex variables Functions of several complex variables Gegenbeispiel (DE-588)4214218-0 gnd Funktion Mathematik (DE-588)4071510-3 gnd Funktionentheorie (DE-588)4018935-1 gnd Mehrere komplexe Variable (DE-588)4169285-8 gnd Mehrere Variable (DE-588)4277015-4 gnd |
| subject_GND | (DE-588)4214218-0 (DE-588)4071510-3 (DE-588)4018935-1 (DE-588)4169285-8 (DE-588)4277015-4 |
| title | Lectures on counterexamples in several complex variables |
| title_auth | Lectures on counterexamples in several complex variables |
| title_exact_search | Lectures on counterexamples in several complex variables |
| title_exact_search_txtP | Lectures on counterexamples in several complex variables |
| title_full | Lectures on counterexamples in several complex variables John Erik Fornæss, Berit Stensønes |
| title_fullStr | Lectures on counterexamples in several complex variables John Erik Fornæss, Berit Stensønes |
| title_full_unstemmed | Lectures on counterexamples in several complex variables John Erik Fornæss, Berit Stensønes |
| title_short | Lectures on counterexamples in several complex variables |
| title_sort | lectures on counterexamples in several complex variables |
| topic | Functions of several complex variables Gegenbeispiel (DE-588)4214218-0 gnd Funktion Mathematik (DE-588)4071510-3 gnd Funktionentheorie (DE-588)4018935-1 gnd Mehrere komplexe Variable (DE-588)4169285-8 gnd Mehrere Variable (DE-588)4277015-4 gnd |
| topic_facet | Functions of several complex variables Gegenbeispiel Funktion Mathematik Funktionentheorie Mehrere komplexe Variable Mehrere Variable |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=016278433&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| work_keys_str_mv | AT fornaessjohnerik lecturesoncounterexamplesinseveralcomplexvariables AT stensønesberit lecturesoncounterexamplesinseveralcomplexvariables |