Introduction to the theory of entire functions of several variables:
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English Russian |
| Published: |
Providence, RI
American Mathematical Society
1974
|
| Series: | Translations of Mathematical Monographs
Vol. 44 |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | VI, 273 S. |
| ISBN: | 0821815946 |
Staff View
MARC
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| 245 | 1 | 0 | |a Introduction to the theory of entire functions of several variables |c by L. I. Ronkin |
| 264 | 1 | |a Providence, RI |b American Mathematical Society |c 1974 | |
| 300 | |a VI, 273 S. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 490 | 1 | |a Translations of Mathematical Monographs |v Vol. 44 | |
| 650 | 4 | |a Fonctions de plusieurs variables complexes | |
| 650 | 4 | |a Fonctions entières | |
| 650 | 4 | |a Fonctions harmoniques | |
| 650 | 7 | |a Funcoes (Matematica) |2 larpcal | |
| 650 | 4 | |a Functions of several complex variables | |
| 650 | 4 | |a Functions, Entire | |
| 650 | 4 | |a Harmonic functions | |
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Record in the Search Index
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| adam_text | Table of Contents
Preface iii
Introduction 1
1. Standard notation 1
2. Semicontinuous functions 2
3. Convex sets and convex functions 4
4. On the growth of functions 9
5. Distributions 12
6. Multiple power series 18
Chapter 1. Subharmonic Functions 22
1. Elementary theory of subharmonic functions 22
2. Integral representation of a subharmonic function 31
3. Functions subharmonic in the entire space 39
4. Capacity of sets and related concepts 51
5. Regularization 57
6. Hartogs functions (n = 1) 65
7. Phragmen Lindelof principle 67
Chapter 2. Plurisubharmonic Functions 74
1. General theory of plurisubharmonic functions 74
2. / projection and / capacity 86
3. The sets 7*g and 55 for plurisubharmonic functions 93
4. Representation of functions plurisubharmonic throughout C 99
5. Hartogs functions (n 1) 103
6. Functions of class 8( 105
7. Functions of class 53 117
Chapter 3. Growth of Entire Functions of Several Variables 130
1. Associated orders, associated types and related concepts 130
2. Growth of an entire function in one of the variables, the others
being fixed 143
3. Growth of an entire function of finite order and distribution of
singularities of the associated function 154
4. Fourier transform of entire functions of exponential type 168
v
vi
5. Radial indicator 177
6. Operator methods 183
Chapter 4. Distribution of Zeros of Entire Functions of Several
Variables 207
1. Integration over an analytic set 207
2. Characteristics of the distribution of zeros of entire functions 222
3. On analogs of the Weierstrass canonical product 242
Bibliography 264
Subject Index 271
Notation Index 273
|
| any_adam_object | 1 |
| author | Ronkin, Lev Isaakovič |
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| author_facet | Ronkin, Lev Isaakovič |
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| author_sort | Ronkin, Lev Isaakovič |
| author_variant | l i r li lir |
| building | Verbundindex |
| bvnumber | BV003054525 |
| callnumber-first | Q - Science |
| callnumber-label | QA353 |
| callnumber-raw | QA353.E5 |
| callnumber-search | QA353.E5 |
| callnumber-sort | QA 3353 E5 |
| callnumber-subject | QA - Mathematics |
| classification_rvk | SK 780 |
| ctrlnum | (OCoLC)969650 (DE-599)BVBBV003054525 |
| dewey-full | 515/.98 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 515 - Analysis |
| dewey-raw | 515/.98 |
| dewey-search | 515/.98 |
| dewey-sort | 3515 298 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| format | Book |
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| id | DE-604.BV003054525 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-09T15:52:54Z |
| institution | BVB |
| isbn | 0821815946 |
| language | English Russian |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-001914057 |
| oclc_num | 969650 |
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| physical | VI, 273 S. |
| psigel | TUB-nveb |
| publishDate | 1974 |
| publishDateSearch | 1974 |
| publishDateSort | 1974 |
| publisher | American Mathematical Society |
| record_format | marc |
| series | Translations of Mathematical Monographs |
| series2 | Translations of Mathematical Monographs |
| spelling | Ronkin, Lev Isaakovič Verfasser (DE-588)1081294442 aut Vvedenie v teoriju celych funkcij mnogich peremennych Introduction to the theory of entire functions of several variables by L. I. Ronkin Providence, RI American Mathematical Society 1974 VI, 273 S. txt rdacontent n rdamedia nc rdacarrier Translations of Mathematical Monographs Vol. 44 Fonctions de plusieurs variables complexes Fonctions entières Fonctions harmoniques Funcoes (Matematica) larpcal Functions of several complex variables Functions, Entire Harmonic functions Mehrere Variable (DE-588)4277015-4 gnd rswk-swf Ganze Funktion (DE-588)4131592-3 gnd rswk-swf Ganze Funktion (DE-588)4131592-3 s Mehrere Variable (DE-588)4277015-4 s DE-604 Translations of Mathematical Monographs Vol. 44 (DE-604)BV000002394 44 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=001914057&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Ronkin, Lev Isaakovič Introduction to the theory of entire functions of several variables Translations of Mathematical Monographs Fonctions de plusieurs variables complexes Fonctions entières Fonctions harmoniques Funcoes (Matematica) larpcal Functions of several complex variables Functions, Entire Harmonic functions Mehrere Variable (DE-588)4277015-4 gnd Ganze Funktion (DE-588)4131592-3 gnd |
| subject_GND | (DE-588)4277015-4 (DE-588)4131592-3 |
| title | Introduction to the theory of entire functions of several variables |
| title_alt | Vvedenie v teoriju celych funkcij mnogich peremennych |
| title_auth | Introduction to the theory of entire functions of several variables |
| title_exact_search | Introduction to the theory of entire functions of several variables |
| title_full | Introduction to the theory of entire functions of several variables by L. I. Ronkin |
| title_fullStr | Introduction to the theory of entire functions of several variables by L. I. Ronkin |
| title_full_unstemmed | Introduction to the theory of entire functions of several variables by L. I. Ronkin |
| title_short | Introduction to the theory of entire functions of several variables |
| title_sort | introduction to the theory of entire functions of several variables |
| topic | Fonctions de plusieurs variables complexes Fonctions entières Fonctions harmoniques Funcoes (Matematica) larpcal Functions of several complex variables Functions, Entire Harmonic functions Mehrere Variable (DE-588)4277015-4 gnd Ganze Funktion (DE-588)4131592-3 gnd |
| topic_facet | Fonctions de plusieurs variables complexes Fonctions entières Fonctions harmoniques Funcoes (Matematica) Functions of several complex variables Functions, Entire Harmonic functions Mehrere Variable Ganze Funktion |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=001914057&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV000002394 |
| work_keys_str_mv | AT ronkinlevisaakovic vvedenievteorijucelychfunkcijmnogichperemennych AT ronkinlevisaakovic introductiontothetheoryofentirefunctionsofseveralvariables |