Continuous mappings and conditions of monogeneity:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English Russian |
| Veröffentlicht: |
Jerusalem
Israel Program for Scientific Translations
1964
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| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | VI, 133 Seiten graph. Darst. |
Internformat
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| 240 | 1 | 0 | |a Nepreryvnye otobraženija i uslovija monogennosti |
| 245 | 1 | 0 | |a Continuous mappings and conditions of monogeneity |c Yu. Yu. Trokhimchuk |
| 264 | 1 | |a Jerusalem |b Israel Program for Scientific Translations |c 1964 | |
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Datensatz im Suchindex
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|---|---|
| adam_text | CONTENTS
PREFACE v
INTRODUCTION 1
Chapter 1. MONOGENEITY SETS 8
§ 1. Definition of monogeneity sets 8
§ 2. The fundamental theorem of monogeneity sets 10
§ 3. Conformality and monogeneity sets 15
§4. Lemmas concerning the properties K1, K , K 21
Chapter 2. SCHLICHT MAPPINGS 23
§ 1. Mappings with constant magnification 23
§2. Mappings with the properties K , K1 28
§3. D. E. Men shov s theorem on functions mapping infinitely
small circles into infinitely small circles 40
Chapter 3. INTERIOR MAPPINGS 49
§1. S. Stoilow s lemma 49
§ 2. The fundamental theorem of interior mappings 50
§3. Schlicht mappings on a nowhere dense set 60
Chapter 4. ARBITRARY CONTINUOUS MAPPINGS 65
§ 1. Mappings with constant magnification 65
§2. Mappings with property K 70
§3. A generalization of D. E. Men shov s theorem 71
§ 4. Conformal mappings 74
§5. Mappings with property K 77
§6. Mappings with property K 91
§7. The Cauchy Riemann equations 109
§8. Monogeneity with respect to a set 112
APPENDIX 119
§ 1. Category of sets 119
§ 2. A property of nowhere dense sets 123
§ 3. The total differential 124
§ 4. Functions with property (N) 127
BIBLIOGRAPHY 130
iii
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| institution | BVB |
| language | English Russian |
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| physical | VI, 133 Seiten graph. Darst. |
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| publishDate | 1964 |
| publishDateSearch | 1964 |
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| publisher | Israel Program for Scientific Translations |
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| spelling | Trochimčuk, Jurij Ju. Verfasser aut Nepreryvnye otobraženija i uslovija monogennosti Continuous mappings and conditions of monogeneity Yu. Yu. Trokhimchuk Jerusalem Israel Program for Scientific Translations 1964 VI, 133 Seiten graph. Darst. txt rdacontent n rdamedia nc rdacarrier Vollständige analytische Funktion (DE-588)4310435-6 gnd rswk-swf Funktionentheorie (DE-588)4018935-1 gnd rswk-swf Analytische Funktion (DE-588)4142348-3 gnd rswk-swf Funktionentheorie (DE-588)4018935-1 s Vollständige analytische Funktion (DE-588)4310435-6 s DE-604 Analytische Funktion (DE-588)4142348-3 s 1\p DE-604 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=002361737&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 |
| spellingShingle | Trochimčuk, Jurij Ju Continuous mappings and conditions of monogeneity Vollständige analytische Funktion (DE-588)4310435-6 gnd Funktionentheorie (DE-588)4018935-1 gnd Analytische Funktion (DE-588)4142348-3 gnd |
| subject_GND | (DE-588)4310435-6 (DE-588)4018935-1 (DE-588)4142348-3 |
| title | Continuous mappings and conditions of monogeneity |
| title_alt | Nepreryvnye otobraženija i uslovija monogennosti |
| title_auth | Continuous mappings and conditions of monogeneity |
| title_exact_search | Continuous mappings and conditions of monogeneity |
| title_full | Continuous mappings and conditions of monogeneity Yu. Yu. Trokhimchuk |
| title_fullStr | Continuous mappings and conditions of monogeneity Yu. Yu. Trokhimchuk |
| title_full_unstemmed | Continuous mappings and conditions of monogeneity Yu. Yu. Trokhimchuk |
| title_short | Continuous mappings and conditions of monogeneity |
| title_sort | continuous mappings and conditions of monogeneity |
| topic | Vollständige analytische Funktion (DE-588)4310435-6 gnd Funktionentheorie (DE-588)4018935-1 gnd Analytische Funktion (DE-588)4142348-3 gnd |
| topic_facet | Vollständige analytische Funktion Funktionentheorie Analytische Funktion |
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