Completeness, Reinhardt domains and the method of complex geodesics in the theory of invariant functions:
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Warszawa
Polska Akad. Nauk, Inst. Matematyczny
2000
|
| Series: | Dissertationes mathematicae
388 |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | 103 S. |
Staff View
MARC
| LEADER | 00000nam a2200000 cb4500 | ||
|---|---|---|---|
| 001 | BV013393265 | ||
| 003 | DE-604 | ||
| 005 | 20140806 | ||
| 007 | t| | ||
| 008 | 001018s2000 xx |||| 00||| eng d | ||
| 035 | |a (OCoLC)638002274 | ||
| 035 | |a (DE-599)BVBBV013393265 | ||
| 040 | |a DE-604 |b ger |e rakwb | ||
| 041 | 0 | |a eng | |
| 049 | |a DE-91G |a DE-739 |a DE-29T |a DE-12 |a DE-188 | ||
| 050 | 0 | |a QA1 | |
| 082 | 0 | |a 512.5 |2 21 | |
| 084 | |a SI 390 |0 (DE-625)143141: |2 rvk | ||
| 100 | 1 | |a Zwonek, WłOdzimierz |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a Completeness, Reinhardt domains and the method of complex geodesics in the theory of invariant functions |c Wlodzimierz Zwonek |
| 264 | 1 | |a Warszawa |b Polska Akad. Nauk, Inst. Matematyczny |c 2000 | |
| 300 | |a 103 S. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 490 | 1 | |a Dissertationes mathematicae |v 388 | |
| 650 | 4 | |a Domains of holomorphy | |
| 650 | 4 | |a Geodesics (Mathematics) | |
| 650 | 4 | |a Green's functions | |
| 650 | 4 | |a Invariants | |
| 830 | 0 | |a Dissertationes mathematicae |v 388 |w (DE-604)BV000003039 |9 388 | |
| 856 | 4 | 2 | |m HBZ Datenaustausch |q application/pdf |u http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=009136683&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |3 Inhaltsverzeichnis |
| 940 | 1 | |n oe | |
| 943 | 1 | |a oai:aleph.bib-bvb.de:BVB01-009136683 | |
Record in the Search Index
| _version_ | 1828141328472473600 |
|---|---|
| adam_text |
Titel: Completeness, Reinhardt domains and the method of complex geodesics in the theory of invariant funct
Autor: Zwonek, WłOdzimierz
Jahr: 2000
CONTENTS
Summary.5
I. Introduction.7
1.1. (Holomorphically) contractible families of functions and pseudometrics.7
1.2. Product property.11
1.3. Various notions of geodesies. Lempert Theorem.12
1.4. Effective formulas for invariant functions.14
1.5. Finite compactness and completeness with respect to invariant distances.17
1.6. Pluricomplex Green function with a logarithmic pole.19
1.7. The Green function with many poles. Analytic disks and the Green function.20
1.8. The Bergman distance. Bergman completeness.22
1.9. Caratheodory balls and norm balls.24
II. Pseudoconvex Reinhardt domains—completeness.25
2.1. Geometry of pseudoconvex Reinhardt domains.25
2.2. Convex cones and pseudoconvex Reinhardt domains.26
2.3. Algebraic mappings.30
2.4. Quasi-elementary Reinhardt domains.31
2.5. Hyperbolicity of pseudoconvex Reinhardt domains.34
2.6. Caratheodory and Kobayashi completeness of pseudoconvex Reinhardt domains. 36
2.7. Bergman completeness of bounded Reinhardt domains.43
2.8. Boundary behavior of the Green function and Bergman completeness.49
III. Effective formulas in Reinhardt domains.54
3.1. Elementary Reinhardt domains with I n.55
3.2. Auxiliary results.56
3.3. Proof of Theorem 3.1.1 in the rational case.63
3.4. Proof of Theorem 3.1.1 in the irrational case.67
3.5. Elementary Reinhardt domains with l = n.70
3.6. The pluricomplex Green function of the unit ball with two poles.72
IV. Symmetry of the pluricomplex Green function.77
4.1. Symmetry of the Green function of complex ellipsoids.77
4.2. Infinitesimal symmetry of the Green function.83
4.3. Nonsymmetry of the Green function of complete Reinhardt domains.88
V. Norm balls and Caratheodory balls in convex ellipsoids.91
List of symbols.97
References.100
2000 Mathematics Subject Classification: 31C10, 32A07, 32A25, 32F45, 32H35, 32U05, 32U35.
Received 22.2.1999; revised version 17.11.1999. |
| any_adam_object | 1 |
| author | Zwonek, WłOdzimierz |
| author_facet | Zwonek, WłOdzimierz |
| author_role | aut |
| author_sort | Zwonek, WłOdzimierz |
| author_variant | w z wz |
| building | Verbundindex |
| bvnumber | BV013393265 |
| callnumber-first | Q - Science |
| callnumber-label | QA1 |
| callnumber-raw | QA1 |
| callnumber-search | QA1 |
| callnumber-sort | QA 11 |
| callnumber-subject | QA - Mathematics |
| classification_rvk | SI 390 |
| ctrlnum | (OCoLC)638002274 (DE-599)BVBBV013393265 |
| dewey-full | 512.5 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 512 - Algebra |
| dewey-raw | 512.5 |
| dewey-search | 512.5 |
| dewey-sort | 3512.5 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| format | Book |
| fullrecord | <?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>00000nam a2200000 cb4500</leader><controlfield tag="001">BV013393265</controlfield><controlfield tag="003">DE-604</controlfield><controlfield tag="005">20140806</controlfield><controlfield tag="007">t|</controlfield><controlfield tag="008">001018s2000 xx |||| 00||| eng d</controlfield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(OCoLC)638002274</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-599)BVBBV013393265</subfield></datafield><datafield tag="040" ind1=" " ind2=" "><subfield code="a">DE-604</subfield><subfield code="b">ger</subfield><subfield code="e">rakwb</subfield></datafield><datafield tag="041" ind1="0" ind2=" "><subfield code="a">eng</subfield></datafield><datafield tag="049" ind1=" " ind2=" "><subfield code="a">DE-91G</subfield><subfield code="a">DE-739</subfield><subfield code="a">DE-29T</subfield><subfield code="a">DE-12</subfield><subfield code="a">DE-188</subfield></datafield><datafield tag="050" ind1=" " ind2="0"><subfield code="a">QA1</subfield></datafield><datafield tag="082" ind1="0" ind2=" "><subfield code="a">512.5</subfield><subfield code="2">21</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">SI 390</subfield><subfield code="0">(DE-625)143141:</subfield><subfield code="2">rvk</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Zwonek, WłOdzimierz</subfield><subfield code="e">Verfasser</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">Completeness, Reinhardt domains and the method of complex geodesics in the theory of invariant functions</subfield><subfield code="c">Wlodzimierz Zwonek</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="a">Warszawa</subfield><subfield code="b">Polska Akad. Nauk, Inst. Matematyczny</subfield><subfield code="c">2000</subfield></datafield><datafield tag="300" ind1=" " ind2=" "><subfield code="a">103 S.</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">Dissertationes mathematicae</subfield><subfield code="v">388</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Domains of holomorphy</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Geodesics (Mathematics)</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Green's functions</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Invariants</subfield></datafield><datafield tag="830" ind1=" " ind2="0"><subfield code="a">Dissertationes mathematicae</subfield><subfield code="v">388</subfield><subfield code="w">(DE-604)BV000003039</subfield><subfield code="9">388</subfield></datafield><datafield tag="856" ind1="4" ind2="2"><subfield code="m">HBZ 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=009136683&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA</subfield><subfield code="3">Inhaltsverzeichnis</subfield></datafield><datafield tag="940" ind1="1" ind2=" "><subfield code="n">oe</subfield></datafield><datafield tag="943" ind1="1" ind2=" "><subfield code="a">oai:aleph.bib-bvb.de:BVB01-009136683</subfield></datafield></record></collection> |
| id | DE-604.BV013393265 |
| illustrated | Not Illustrated |
| indexdate | 2025-03-31T20:03:50Z |
| institution | BVB |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-009136683 |
| oclc_num | 638002274 |
| open_access_boolean | |
| owner | DE-91G DE-BY-TUM DE-739 DE-29T DE-12 DE-188 |
| owner_facet | DE-91G DE-BY-TUM DE-739 DE-29T DE-12 DE-188 |
| physical | 103 S. |
| publishDate | 2000 |
| publishDateSearch | 2000 |
| publishDateSort | 2000 |
| publisher | Polska Akad. Nauk, Inst. Matematyczny |
| record_format | marc |
| series | Dissertationes mathematicae |
| series2 | Dissertationes mathematicae |
| spelling | Zwonek, WłOdzimierz Verfasser aut Completeness, Reinhardt domains and the method of complex geodesics in the theory of invariant functions Wlodzimierz Zwonek Warszawa Polska Akad. Nauk, Inst. Matematyczny 2000 103 S. txt rdacontent n rdamedia nc rdacarrier Dissertationes mathematicae 388 Domains of holomorphy Geodesics (Mathematics) Green's functions Invariants Dissertationes mathematicae 388 (DE-604)BV000003039 388 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=009136683&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Zwonek, WłOdzimierz Completeness, Reinhardt domains and the method of complex geodesics in the theory of invariant functions Dissertationes mathematicae Domains of holomorphy Geodesics (Mathematics) Green's functions Invariants |
| title | Completeness, Reinhardt domains and the method of complex geodesics in the theory of invariant functions |
| title_auth | Completeness, Reinhardt domains and the method of complex geodesics in the theory of invariant functions |
| title_exact_search | Completeness, Reinhardt domains and the method of complex geodesics in the theory of invariant functions |
| title_full | Completeness, Reinhardt domains and the method of complex geodesics in the theory of invariant functions Wlodzimierz Zwonek |
| title_fullStr | Completeness, Reinhardt domains and the method of complex geodesics in the theory of invariant functions Wlodzimierz Zwonek |
| title_full_unstemmed | Completeness, Reinhardt domains and the method of complex geodesics in the theory of invariant functions Wlodzimierz Zwonek |
| title_short | Completeness, Reinhardt domains and the method of complex geodesics in the theory of invariant functions |
| title_sort | completeness reinhardt domains and the method of complex geodesics in the theory of invariant functions |
| topic | Domains of holomorphy Geodesics (Mathematics) Green's functions Invariants |
| topic_facet | Domains of holomorphy Geodesics (Mathematics) Green's functions Invariants |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=009136683&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV000003039 |
| work_keys_str_mv | AT zwonekwłodzimierz completenessreinhardtdomainsandthemethodofcomplexgeodesicsinthetheoryofinvariantfunctions |