Semigroups in geometrical function theory:
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Dordrecht [u.a.]
Kluwer
2001
|
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Item Description: | Includes bibliographical references (p. 205-215) and indexes |
| Physical Description: | XII, 222 S. Ill. : graph. Darst. |
| ISBN: | 0792371119 |
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MARC
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| 245 | 1 | 0 | |a Semigroups in geometrical function theory |c by David Shoikhet |
| 264 | 1 | |a Dordrecht [u.a.] |b Kluwer |c 2001 | |
| 300 | |a XII, 222 S. |b Ill. : graph. Darst. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 500 | |a Includes bibliographical references (p. 205-215) and indexes | ||
| 650 | 4 | |a Fonctions, Théorie géométrique des | |
| 650 | 7 | |a Functietheorie |2 gtt | |
| 650 | 4 | |a Semi-groupes | |
| 650 | 7 | |a Semigroepen |2 gtt | |
| 650 | 4 | |a Geometric function theory | |
| 650 | 4 | |a Semigroups | |
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Record in the Search Index
| _version_ | 1804129264270835712 |
|---|---|
| adam_text | SEMIGROUPS IN GEOMETRICAL FUNCTION THEORY BY DAVID SHOIKHET DEPARTMENT
OF MATHEMATICS, TECHNION-LSRAEL INSTITUTE OF TECHNOLOGY, HAIFA, ISRAEL
KLUWER ACADEMIC PUBLISHERS DORDRECHT / BOSTON / LONDON CONTENTS PREFACE
VII PRELIMINARIES 1 0.1 NOTATIONS AND NOTIONS 1 0.2 HOLOMORPHIC
FUNCTIONS OF A COMPLEX VARIABLE 4 0.3 CONVERGENCE OF HOLOMORPHIC
FUNCTIONS 6 0.4 METRIC SPACES AND FIXED POINT PRINCIPLES 7 1 THE
WOLFF*DENJOY THEORY ON THE UNIT DISK 9 1.1 SCHWARZ-PICK LEMMA AND
AUTOMORPHISMS 9 1.2 BOUNDARY BEHAVIOR OF HOLOMORPHIC SELF-MAPPINGS 17
1.3 FIXED POINTS OF HOLOMORPHIC SELF-MAPPINGS 25 1.4 FIXED POINT FREE
HOLOMORPHIC SELF-MAPPINGS OF A. THE DENJOY-WOLFF THEOREM 32 1.5
COMMUTING FAMILY OF HOLOMORPHIC MAPPINGS OF THE UNIT DISK. ... 36 2
HYPERBOLIC GEOMETRY ON THE UNIT DISK AND FIXED POINTS 39 2.1 THE
POINCARE METRIC ON A 39 2.2 INFINITESIMAL POINCARE METRIC AND GEODESIES
44 2.3 COMPATIBILITY OF THE POINCARE METRIC WITH CONVEXITY 46 2.4 FIXED
POINTS OF P-NONEXPANSIVE MAPPINGS ON THE UNIT DISK 52 3 GENERATION
THEORY ON THE UNIT DISK 59 3.1 ONE-PARAMETER CONTINUOUS SEMIGROUP OF
HOLOMORPHIC AND P-NONEXPANSIVE SELF-MAPPINGS 59 3.2 INFINITESIMAL
GENERATOR OF A ONE-PARAMETER CONTINUOUS SEMIGROUP . 62 3.3 NONLINEAR
RESOLVENT AND THE EXPONENTIAL FORMULA 67 3.4 MONOTONICITY WITH RESPECT
TO THE HYPERBOLIC METRIC 79 3.5 FLOW INVARIANCE CONDITIONS FOR
HOLOMORPHIC FUNCTIONS 83 3.6 THE BERKSON-PORTA PARAMETRIC REPRESENTATION
OF SEMI-COMPLETE VECTOR FIELDS 95 4 ASYMPTOTIC BEHAVIOR OF CONTINUOUS
FLOWS 101 4.1 STATIONARY POINTS OF A FLOW ON A 101 4.2 NULL POINTS OF
COMPLETE VECTOR FIELDS 104 VI CONTENTS 4.3 EMBEDDING OF DISCRETE TIME
GROUP INTO A CONTINUOUS FLOW 109 4.4 RATES OF CONVERGENCE OF A FLOW WITH
AN INTERIOR STATIONARY POINT . . 113 4.5 A RATE OF CONVERGENCE IN TERMS
OF THE POINCARE METRIC 120 4.6 CONTINUOUS VERSION OF THE
JULIA-WOLFF-CARATHEODORY THEOREM . . . 124 4.7 LOWER BOUNDS FOR
P-MONOTONE FUNCTIONS 135 5 DYNAMICAL APPROACH TO STARLIKE AND SPIRALLIKE
FUNCTIONS 153 5.1 GENERATORS ON BIHOLOMORPHICALLY EQUIVALENT DOMAINS 154
5.2 STARLIKE AND SPIRALLIKE FUNCTIONS 157 5.3 A GENERALIZED
VISSER-OSTROWSKI CONDITION AND FANLIKE FUNCTIONS . . 163 5.4 AN
INVARIANCE PROPERTY AND APPROXIMATION PROBLEMS 166 5.5 HUMMEL S
MULTIPLIER AND PARAMETRIC REPRESENTATIONS OF STARLIKE FUNCTIONS 172 5.6
A CONJECTURE OF ROBERTSON AND GEOMETRICAL CHARACTERISTICS OF FANLIKE
FUNCTIONS 176 5.7 CONVERSE THEOREMS ON STARLIKE, SPIRALLIKE AND FANLIKE
FUNCTIONS . . . 186 5.8 GROWTH ESTIMATES FOR SPIRALLIKE, STARLIKE AND
FANLIKE FUNCTIONS . . . 194 5.9 REMARKS ON SCHROEDER S EQUATION AND THE
KOENIGS EMBEDDING PROPERTY 198 BIBLIOGRAPHY 205 AUTHOR AND SUBJECT INDEX
216 LIST OF FIGURES 221
|
| any_adam_object | 1 |
| author | Shoiykhet, David 1953- |
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| author_facet | Shoiykhet, David 1953- |
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| dewey-full | 515 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 515 - Analysis |
| dewey-raw | 515 |
| dewey-search | 515 |
| dewey-sort | 3515 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| format | Book |
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| id | DE-604.BV014398018 |
| illustrated | Illustrated |
| indexdate | 2024-07-09T19:02:22Z |
| institution | BVB |
| isbn | 0792371119 |
| language | English |
| lccn | 2001038256 |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-009853487 |
| oclc_num | 47240761 |
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| owner | DE-20 |
| owner_facet | DE-20 |
| physical | XII, 222 S. Ill. : graph. Darst. |
| publishDate | 2001 |
| publishDateSearch | 2001 |
| publishDateSort | 2001 |
| publisher | Kluwer |
| record_format | marc |
| spelling | Shoiykhet, David 1953- Verfasser (DE-588)1079700099 aut Semigroups in geometrical function theory by David Shoikhet Dordrecht [u.a.] Kluwer 2001 XII, 222 S. Ill. : graph. Darst. txt rdacontent n rdamedia nc rdacarrier Includes bibliographical references (p. 205-215) and indexes Fonctions, Théorie géométrique des Functietheorie gtt Semi-groupes Semigroepen gtt Geometric function theory Semigroups GBV Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=009853487&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Shoiykhet, David 1953- Semigroups in geometrical function theory Fonctions, Théorie géométrique des Functietheorie gtt Semi-groupes Semigroepen gtt Geometric function theory Semigroups |
| title | Semigroups in geometrical function theory |
| title_auth | Semigroups in geometrical function theory |
| title_exact_search | Semigroups in geometrical function theory |
| title_full | Semigroups in geometrical function theory by David Shoikhet |
| title_fullStr | Semigroups in geometrical function theory by David Shoikhet |
| title_full_unstemmed | Semigroups in geometrical function theory by David Shoikhet |
| title_short | Semigroups in geometrical function theory |
| title_sort | semigroups in geometrical function theory |
| topic | Fonctions, Théorie géométrique des Functietheorie gtt Semi-groupes Semigroepen gtt Geometric function theory Semigroups |
| topic_facet | Fonctions, Théorie géométrique des Functietheorie Semi-groupes Semigroepen Geometric function theory Semigroups |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=009853487&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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