Holomorphic dynamics on hyperbolic Riemann surfaces:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Berlin ; Boston
De Gruyter
[2023]
|
| Schriftenreihe: | De Gruyter Studies in Mathematics
Volume 89 |
| Schlagworte: | |
| Online-Zugang: | https://www.degruyter.com/isbn/9783110601053 Inhaltsverzeichnis Inhaltsverzeichnis |
| Beschreibung: | XIII, 356 Seiten Illustrationen 24 cm x 17 cm, 755 g |
| ISBN: | 9783110601053 3110601052 |
Internformat
MARC
| LEADER | 00000nam a22000008cb4500 | ||
|---|---|---|---|
| 001 | BV048685715 | ||
| 003 | DE-604 | ||
| 005 | 00000000000000.0 | ||
| 007 | t | ||
| 008 | 230201s2023 gw a||| |||| 00||| eng d | ||
| 015 | |a 22,N13 |2 dnb | ||
| 016 | 7 | |a 1254134158 |2 DE-101 | |
| 020 | |a 9783110601053 |c Festeinband : EUR 116.95 (DE) (freier Preis), EUR 116.95 (AT) (freier Preis) |9 978-3-11-060105-3 | ||
| 020 | |a 3110601052 |9 3-11-060105-2 | ||
| 024 | 3 | |a 9783110601053 | |
| 035 | |a (OCoLC)1356796562 | ||
| 035 | |a (DE-599)DNB1254134158 | ||
| 040 | |a DE-604 |b ger |e rda | ||
| 041 | 0 | |a eng | |
| 044 | |a gw |c XA-DE-BE | ||
| 049 | |a DE-29T | ||
| 084 | |8 1\p |a 510 |2 23sdnb | ||
| 100 | 1 | |a Abate, Marco |d 1962- |e Verfasser |0 (DE-588)102225118X |4 aut | |
| 245 | 1 | 0 | |a Holomorphic dynamics on hyperbolic Riemann surfaces |c Marco Abate |
| 264 | 1 | |a Berlin ; Boston |b De Gruyter |c [2023] | |
| 300 | |a XIII, 356 Seiten |b Illustrationen |c 24 cm x 17 cm, 755 g | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 490 | 1 | |a De Gruyter Studies in Mathematics |v Volume 89 | |
| 653 | |a Geometrische Funktionentheorie | ||
| 653 | |a Holomorphe Funktion | ||
| 653 | |a Komplexe Geometrie | ||
| 653 | |a Geometrische Funktionentheorie; Holomorphe Funktion; Komplexe Geometrie | ||
| 710 | 2 | |a Walter de Gruyter GmbH & Co. KG |0 (DE-588)10095502-2 |4 pbl | |
| 776 | 0 | 8 | |i Erscheint auch als |n Online-Ausgabe |z 978-3-11-060197-8 |
| 776 | 0 | 8 | |i Erscheint auch als |n Online-Ausgabe, EPUB |z 978-3-11-059874-2 |
| 830 | 0 | |a De Gruyter Studies in Mathematics |v Volume 89 |w (DE-604)BV000005407 |9 89 | |
| 856 | 4 | 2 | |m X:MVB |u https://www.degruyter.com/isbn/9783110601053 |
| 856 | 4 | 2 | |m B:DE-101 |q application/pdf |u https://d-nb.info/1254134158/04 |3 Inhaltsverzeichnis |
| 856 | 4 | 2 | |m DNB Datenaustausch |q application/pdf |u http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=034060003&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |3 Inhaltsverzeichnis |
| 999 | |a oai:aleph.bib-bvb.de:BVB01-034060003 | ||
| 883 | 1 | |8 1\p |a vlb |d 20220326 |q DE-101 |u https://d-nb.info/provenance/plan#vlb | |
Datensatz im Suchindex
| _version_ | 1804184861881139200 |
|---|---|
| adam_text | CONTENTS
INTRODUCTION
-
VII
1
1.1
1.2
1.3
1.4
1.5
1.6
1.7
1.8
1.9
1.10
1.11
THE
SCHWARZ
LEMMA
AND
RIEMANN
SURFACES
-
1
THE
SCHWARZ-PICK
LEMMA
-
2
THE
POINCARE
DISTANCE
-
8
THE
UPPER
HALF-PLANE
-
14
FIXED
POINTS
OF
AUTOMORPHISMS
-
19
MULTIPOINT
SCHWARZ-PICK
LEMMAS
-
28
RIEMANN
SURFACES
----
36
HYPERBOLIC
RIEMANN
SURFACES
AND
THE
MONTEL
THEOREM
----
54
BOUNDARY
BEHAVIOR
OF
THE
UNIVERSAL
COVERING
MAP
-
67
THE
POINCARE
METRIC
-
73
THE
AHLFORS
LEMMA
-
84
BLOCH
DOMAINS
----
88
2
2.1
2.2
2.3
2.4
2.5
2.6
2.7
BOUNDARY
SCHWARZ
LEMMAS
-
96
THE
JULIA
LEMMA
-
97
STOLZ
REGIONS
AND
NONTANGENTIAL
LIMITS
----
113
THE
JULIA-WOLFF-CARATHEODORY
THEOREM
-
125
THE
LINDELOF
THEOREM
---
136
THE
WOLFF
LEMMA
-
143
THE
AUTOMORPHISM
GROUP
OF
HYPERBOLIC
RIEMANN
SURFACES
-
147
THE
BURNS-KRANTZ
THEOREM
-
153
3
3.1
3.2
3.3
3.4
3.5
3.6
3.7
DISCRETE
DYNAMICS
ON
RIEMANN
SURFACES
-
158
THE
FIXED-POINT
CASE
----
159
THE
WOLFF-DENJOY
THEOREM
-
166
THE
HEINS
THEOREM
-
169
STABILITY
OF
THE
WOLFF
POINT
----
182
MODELS
ON
RIEMANN
SURFACES
-
184
RANDOM
ITERATION
ON
BLOCH
DOMAINS
-
192
RANDOM
ITERATION
OF
SMALL
PERTURBATIONS
-
201
4
4.1
4.2
4.3
4.4
4.5
4.6
DISCRETE
DYNAMICS
ON
THE
UNIT
DISK
-
212
ELLIPTIC
DYNAMICS
-
213
SUPERATTRACTING
DYNAMICS
-
217
HYPERBOLIC
DYNAMICS
-
221
PARABOLIC
DYNAMICS
----
226
MODELS
ON
THE
UNIT
DISK
-
234
THE
HYPERBOLIC
STEP
----
240
VI
-
CONTENTS
BIBLIOGRAPHY
-
337
4.7
4.8
4.9
4.10
PARABOLIC
TYPE
AND
BOUNDARY
SMOOTHNESS
-
251
BOUNDARY
FIXED
POINTS
-
260
BACKWARD
DYNAMICS
-
266
COMMUTING
FUNCTIONS
-
286
5
5.1
5.2
5.3
5.4
5.5
5.6
5.7
CONTINUOUS
DYNAMICS
ON
RIEMANN
SURFACES
-
294
ALGEBRAIC
SEMIGROUP
HOMOMORPHISMS
-
295
ONE-PARAMETER
SEMIGROUPS
-
297
ONE-PARAMETER
SEMIGROUPS
ON
RIEMANN
SURFACES
-
300
THE
INFINITESIMAL
GENERATOR
-
304
THE
CONTINUOUS
WOLFF-DENJOY
THEOREM
-
313
THE
BERKSON-PORTA
FORMULA
-
315
ONE-PARAMETER
SEMIGROUPS
ON
THE
UNIT
DISK
-
320
A
A.1
A.
2
A.3
A.4
A.5
APPENDIX
-
325
THE
HURWITZ
THEOREMS
-
325
THE
FATOU
UNIQUENESS
THEOREM
-
326
HOLOMORPHIC
FUNCTIONS
WITH
NONNEGATIVE
REAL
PART
-
328
SEQUENCES
-
331
TOPOLOGICAL
GROUPS
-
334
INDEX
-
353
|
| adam_txt |
CONTENTS
INTRODUCTION
-
VII
1
1.1
1.2
1.3
1.4
1.5
1.6
1.7
1.8
1.9
1.10
1.11
THE
SCHWARZ
LEMMA
AND
RIEMANN
SURFACES
-
1
THE
SCHWARZ-PICK
LEMMA
-
2
THE
POINCARE
DISTANCE
-
8
THE
UPPER
HALF-PLANE
-
14
FIXED
POINTS
OF
AUTOMORPHISMS
-
19
MULTIPOINT
SCHWARZ-PICK
LEMMAS
-
28
RIEMANN
SURFACES
----
36
HYPERBOLIC
RIEMANN
SURFACES
AND
THE
MONTEL
THEOREM
----
54
BOUNDARY
BEHAVIOR
OF
THE
UNIVERSAL
COVERING
MAP
-
67
THE
POINCARE
METRIC
-
73
THE
AHLFORS
LEMMA
-
84
BLOCH
DOMAINS
----
88
2
2.1
2.2
2.3
2.4
2.5
2.6
2.7
BOUNDARY
SCHWARZ
LEMMAS
-
96
THE
JULIA
LEMMA
-
97
STOLZ
REGIONS
AND
NONTANGENTIAL
LIMITS
----
113
THE
JULIA-WOLFF-CARATHEODORY
THEOREM
-
125
THE
LINDELOF
THEOREM
---
136
THE
WOLFF
LEMMA
-
143
THE
AUTOMORPHISM
GROUP
OF
HYPERBOLIC
RIEMANN
SURFACES
-
147
THE
BURNS-KRANTZ
THEOREM
-
153
3
3.1
3.2
3.3
3.4
3.5
3.6
3.7
DISCRETE
DYNAMICS
ON
RIEMANN
SURFACES
-
158
THE
FIXED-POINT
CASE
----
159
THE
WOLFF-DENJOY
THEOREM
-
166
THE
HEINS
THEOREM
-
169
STABILITY
OF
THE
WOLFF
POINT
----
182
MODELS
ON
RIEMANN
SURFACES
-
184
RANDOM
ITERATION
ON
BLOCH
DOMAINS
-
192
RANDOM
ITERATION
OF
SMALL
PERTURBATIONS
-
201
4
4.1
4.2
4.3
4.4
4.5
4.6
DISCRETE
DYNAMICS
ON
THE
UNIT
DISK
-
212
ELLIPTIC
DYNAMICS
-
213
SUPERATTRACTING
DYNAMICS
-
217
HYPERBOLIC
DYNAMICS
-
221
PARABOLIC
DYNAMICS
----
226
MODELS
ON
THE
UNIT
DISK
-
234
THE
HYPERBOLIC
STEP
----
240
VI
-
CONTENTS
BIBLIOGRAPHY
-
337
4.7
4.8
4.9
4.10
PARABOLIC
TYPE
AND
BOUNDARY
SMOOTHNESS
-
251
BOUNDARY
FIXED
POINTS
-
260
BACKWARD
DYNAMICS
-
266
COMMUTING
FUNCTIONS
-
286
5
5.1
5.2
5.3
5.4
5.5
5.6
5.7
CONTINUOUS
DYNAMICS
ON
RIEMANN
SURFACES
-
294
ALGEBRAIC
SEMIGROUP
HOMOMORPHISMS
-
295
ONE-PARAMETER
SEMIGROUPS
-
297
ONE-PARAMETER
SEMIGROUPS
ON
RIEMANN
SURFACES
-
300
THE
INFINITESIMAL
GENERATOR
-
304
THE
CONTINUOUS
WOLFF-DENJOY
THEOREM
-
313
THE
BERKSON-PORTA
FORMULA
-
315
ONE-PARAMETER
SEMIGROUPS
ON
THE
UNIT
DISK
-
320
A
A.1
A.
2
A.3
A.4
A.5
APPENDIX
-
325
THE
HURWITZ
THEOREMS
-
325
THE
FATOU
UNIQUENESS
THEOREM
-
326
HOLOMORPHIC
FUNCTIONS
WITH
NONNEGATIVE
REAL
PART
-
328
SEQUENCES
-
331
TOPOLOGICAL
GROUPS
-
334
INDEX
-
353 |
| any_adam_object | 1 |
| any_adam_object_boolean | 1 |
| author | Abate, Marco 1962- |
| author_GND | (DE-588)102225118X |
| author_facet | Abate, Marco 1962- |
| author_role | aut |
| author_sort | Abate, Marco 1962- |
| author_variant | m a ma |
| building | Verbundindex |
| bvnumber | BV048685715 |
| ctrlnum | (OCoLC)1356796562 (DE-599)DNB1254134158 |
| format | Book |
| fullrecord | <?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>02119nam a22004818cb4500</leader><controlfield tag="001">BV048685715</controlfield><controlfield tag="003">DE-604</controlfield><controlfield tag="005">00000000000000.0</controlfield><controlfield tag="007">t</controlfield><controlfield tag="008">230201s2023 gw a||| |||| 00||| eng d</controlfield><datafield tag="015" ind1=" " ind2=" "><subfield code="a">22,N13</subfield><subfield code="2">dnb</subfield></datafield><datafield tag="016" ind1="7" ind2=" "><subfield code="a">1254134158</subfield><subfield code="2">DE-101</subfield></datafield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">9783110601053</subfield><subfield code="c">Festeinband : EUR 116.95 (DE) (freier Preis), EUR 116.95 (AT) (freier Preis)</subfield><subfield code="9">978-3-11-060105-3</subfield></datafield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">3110601052</subfield><subfield code="9">3-11-060105-2</subfield></datafield><datafield tag="024" ind1="3" ind2=" "><subfield code="a">9783110601053</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(OCoLC)1356796562</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-599)DNB1254134158</subfield></datafield><datafield tag="040" ind1=" " ind2=" "><subfield code="a">DE-604</subfield><subfield code="b">ger</subfield><subfield code="e">rda</subfield></datafield><datafield tag="041" ind1="0" ind2=" "><subfield code="a">eng</subfield></datafield><datafield tag="044" ind1=" " ind2=" "><subfield code="a">gw</subfield><subfield code="c">XA-DE-BE</subfield></datafield><datafield tag="049" ind1=" " ind2=" "><subfield code="a">DE-29T</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="8">1\p</subfield><subfield code="a">510</subfield><subfield code="2">23sdnb</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Abate, Marco</subfield><subfield code="d">1962-</subfield><subfield code="e">Verfasser</subfield><subfield code="0">(DE-588)102225118X</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">Holomorphic dynamics on hyperbolic Riemann surfaces</subfield><subfield code="c">Marco Abate</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="a">Berlin ; Boston</subfield><subfield code="b">De Gruyter</subfield><subfield code="c">[2023]</subfield></datafield><datafield tag="300" ind1=" " ind2=" "><subfield code="a">XIII, 356 Seiten</subfield><subfield code="b">Illustrationen</subfield><subfield code="c">24 cm x 17 cm, 755 g</subfield></datafield><datafield tag="336" ind1=" " ind2=" "><subfield code="b">txt</subfield><subfield code="2">rdacontent</subfield></datafield><datafield tag="337" ind1=" " ind2=" "><subfield code="b">n</subfield><subfield code="2">rdamedia</subfield></datafield><datafield tag="338" ind1=" " ind2=" "><subfield code="b">nc</subfield><subfield code="2">rdacarrier</subfield></datafield><datafield tag="490" ind1="1" ind2=" "><subfield code="a">De Gruyter Studies in Mathematics</subfield><subfield code="v">Volume 89</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Geometrische Funktionentheorie</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Holomorphe Funktion</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Komplexe Geometrie</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Geometrische Funktionentheorie; Holomorphe Funktion; Komplexe Geometrie</subfield></datafield><datafield tag="710" ind1="2" ind2=" "><subfield code="a">Walter de Gruyter GmbH & Co. KG</subfield><subfield code="0">(DE-588)10095502-2</subfield><subfield code="4">pbl</subfield></datafield><datafield tag="776" ind1="0" ind2="8"><subfield code="i">Erscheint auch als</subfield><subfield code="n">Online-Ausgabe</subfield><subfield code="z">978-3-11-060197-8</subfield></datafield><datafield tag="776" ind1="0" ind2="8"><subfield code="i">Erscheint auch als</subfield><subfield code="n">Online-Ausgabe, EPUB</subfield><subfield code="z">978-3-11-059874-2</subfield></datafield><datafield tag="830" ind1=" " ind2="0"><subfield code="a">De Gruyter Studies in Mathematics</subfield><subfield code="v">Volume 89</subfield><subfield code="w">(DE-604)BV000005407</subfield><subfield code="9">89</subfield></datafield><datafield tag="856" ind1="4" ind2="2"><subfield code="m">X:MVB</subfield><subfield code="u">https://www.degruyter.com/isbn/9783110601053</subfield></datafield><datafield tag="856" ind1="4" ind2="2"><subfield code="m">B:DE-101</subfield><subfield code="q">application/pdf</subfield><subfield code="u">https://d-nb.info/1254134158/04</subfield><subfield code="3">Inhaltsverzeichnis</subfield></datafield><datafield tag="856" ind1="4" ind2="2"><subfield code="m">DNB Datenaustausch</subfield><subfield code="q">application/pdf</subfield><subfield code="u">http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=034060003&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA</subfield><subfield code="3">Inhaltsverzeichnis</subfield></datafield><datafield tag="999" ind1=" " ind2=" "><subfield code="a">oai:aleph.bib-bvb.de:BVB01-034060003</subfield></datafield><datafield tag="883" ind1="1" ind2=" "><subfield code="8">1\p</subfield><subfield code="a">vlb</subfield><subfield code="d">20220326</subfield><subfield code="q">DE-101</subfield><subfield code="u">https://d-nb.info/provenance/plan#vlb</subfield></datafield></record></collection> |
| id | DE-604.BV048685715 |
| illustrated | Illustrated |
| index_date | 2024-07-03T21:26:26Z |
| indexdate | 2024-07-10T09:46:04Z |
| institution | BVB |
| institution_GND | (DE-588)10095502-2 |
| isbn | 9783110601053 3110601052 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-034060003 |
| oclc_num | 1356796562 |
| open_access_boolean | |
| owner | DE-29T |
| owner_facet | DE-29T |
| physical | XIII, 356 Seiten Illustrationen 24 cm x 17 cm, 755 g |
| publishDate | 2023 |
| publishDateSearch | 2023 |
| publishDateSort | 2023 |
| publisher | De Gruyter |
| record_format | marc |
| series | De Gruyter Studies in Mathematics |
| series2 | De Gruyter Studies in Mathematics |
| spelling | Abate, Marco 1962- Verfasser (DE-588)102225118X aut Holomorphic dynamics on hyperbolic Riemann surfaces Marco Abate Berlin ; Boston De Gruyter [2023] XIII, 356 Seiten Illustrationen 24 cm x 17 cm, 755 g txt rdacontent n rdamedia nc rdacarrier De Gruyter Studies in Mathematics Volume 89 Geometrische Funktionentheorie Holomorphe Funktion Komplexe Geometrie Geometrische Funktionentheorie; Holomorphe Funktion; Komplexe Geometrie Walter de Gruyter GmbH & Co. KG (DE-588)10095502-2 pbl Erscheint auch als Online-Ausgabe 978-3-11-060197-8 Erscheint auch als Online-Ausgabe, EPUB 978-3-11-059874-2 De Gruyter Studies in Mathematics Volume 89 (DE-604)BV000005407 89 X:MVB https://www.degruyter.com/isbn/9783110601053 B:DE-101 application/pdf https://d-nb.info/1254134158/04 Inhaltsverzeichnis DNB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=034060003&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis 1\p vlb 20220326 DE-101 https://d-nb.info/provenance/plan#vlb |
| spellingShingle | Abate, Marco 1962- Holomorphic dynamics on hyperbolic Riemann surfaces De Gruyter Studies in Mathematics |
| title | Holomorphic dynamics on hyperbolic Riemann surfaces |
| title_auth | Holomorphic dynamics on hyperbolic Riemann surfaces |
| title_exact_search | Holomorphic dynamics on hyperbolic Riemann surfaces |
| title_exact_search_txtP | Holomorphic dynamics on hyperbolic Riemann surfaces |
| title_full | Holomorphic dynamics on hyperbolic Riemann surfaces Marco Abate |
| title_fullStr | Holomorphic dynamics on hyperbolic Riemann surfaces Marco Abate |
| title_full_unstemmed | Holomorphic dynamics on hyperbolic Riemann surfaces Marco Abate |
| title_short | Holomorphic dynamics on hyperbolic Riemann surfaces |
| title_sort | holomorphic dynamics on hyperbolic riemann surfaces |
| url | https://www.degruyter.com/isbn/9783110601053 https://d-nb.info/1254134158/04 http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=034060003&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV000005407 |
| work_keys_str_mv | AT abatemarco holomorphicdynamicsonhyperbolicriemannsurfaces AT walterdegruytergmbhcokg holomorphicdynamicsonhyperbolicriemannsurfaces |
Es ist kein Print-Exemplar vorhanden.
Inhaltsverzeichnis