Growth theory of subharmonic functions:
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Basel [u.a.]
Birkhäuser
2009
|
| Series: | Birkhäuser advanced texts
|
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Item Description: | Literaturverz. S. 255 - 259 |
| Physical Description: | VI, 259 S. 24 cm |
| ISBN: | 9783764388850 9783764388867 |
Staff View
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| 100 | 1 | |a Azarin, Vladimir |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a Growth theory of subharmonic functions |c Vladimir Azarin |
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| 300 | |a VI, 259 S. |c 24 cm | ||
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Record in the Search Index
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| adam_text | Contents
1 Preface.................................... 1
2 Auxiliary Information. Subharmonic Functions
2.1 Semicontinuous functions ....................... 3
2.2 Measures and integrals......................... 7
2.3 Distributions.............................. 14
2.4 Harmonic functions........................... 21
2.5 Potentials and capacities........................ 28
2.6 Subharmonic functions......................... 36
2.7 Sequences of subharmonic functions ................. 43
2.8 Scale of growth. Growth characteristics
of subharmonic functions ....................... 52
2.9 The representation theorem of subharmonic functions in Rrn .... 62
3 Asymptotic Behavior of Subharmonic Functions of Finite Order
3.1 Limit sets................................ 75
3.2 Indicators................................ 87
3.3 Densities................................. 99
4 Structure of Limit Sets
4.1 Dynamical systems........................... 107
4.2 Subharmonic function with prescribed limit set........... 121
4.3 Further properties of limit sets.................... 134
4.4 Subharmonic curves. Curves with prescribed limit sets....... 147
5 Applications to Entire Functions
5.1 Growth characteristics of entire functions .............. 151
5.2 © -topology and topology of exceptional sets ............ 152
5.3 Asymptotic approximation of subharmonic functions........ 157
5.4 Lower indicator of A.A. Gol dberg. Description of lower indicator.
Description of the pair: indicator-lower indicator.......... 163
5.5 Asymptotic extremal problems. Semiadditive integral........ 173
vi Contents
5.6 Entire functions of completely regular growth.
Levin-Pfluger Theorem. Balashov s theory.............. 177
5.7 General characteristics of growth of entire functions ........ 180
5.8 A generalization of the Valiron-Titchmarsh theorem........ 199
6 Application to the Completeness of Exponential Systems
6.1 The multiplicator problem....................... 203
6.2 A generalization of /o-trigonometric convexity............ 223
6.3 Completeness of exponential systems in convex domains...... 228
Notation...................................... 247
List of Terms................................... 249
Bibliography................................... 255
|
| any_adam_object | 1 |
| author | Azarin, Vladimir |
| author_facet | Azarin, Vladimir |
| author_role | aut |
| author_sort | Azarin, Vladimir |
| author_variant | v a va |
| building | Verbundindex |
| bvnumber | BV035195151 |
| classification_rvk | SK 450 SK 680 |
| ctrlnum | (OCoLC)271637678 (DE-599)DNB988331187 |
| dewey-full | 515.96 515.98 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 515 - Analysis |
| dewey-raw | 515.96 515.98 |
| dewey-search | 515.96 515.98 |
| dewey-sort | 3515.96 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| format | Book |
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| id | DE-604.BV035195151 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-09T21:28:18Z |
| institution | BVB |
| isbn | 9783764388850 9783764388867 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-017001697 |
| oclc_num | 271637678 |
| open_access_boolean | |
| owner | DE-824 DE-19 DE-BY-UBM DE-20 DE-11 |
| owner_facet | DE-824 DE-19 DE-BY-UBM DE-20 DE-11 |
| physical | VI, 259 S. 24 cm |
| publishDate | 2009 |
| publishDateSearch | 2009 |
| publishDateSort | 2009 |
| publisher | Birkhäuser |
| record_format | marc |
| series2 | Birkhäuser advanced texts |
| spelling | Azarin, Vladimir Verfasser aut Growth theory of subharmonic functions Vladimir Azarin Basel [u.a.] Birkhäuser 2009 VI, 259 S. 24 cm txt rdacontent n rdamedia nc rdacarrier Birkhäuser advanced texts Literaturverz. S. 255 - 259 Subharmonische Funktion (DE-588)4183900-6 gnd rswk-swf Subharmonische Funktion (DE-588)4183900-6 s DE-604 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=017001697&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Azarin, Vladimir Growth theory of subharmonic functions Subharmonische Funktion (DE-588)4183900-6 gnd |
| subject_GND | (DE-588)4183900-6 |
| title | Growth theory of subharmonic functions |
| title_auth | Growth theory of subharmonic functions |
| title_exact_search | Growth theory of subharmonic functions |
| title_full | Growth theory of subharmonic functions Vladimir Azarin |
| title_fullStr | Growth theory of subharmonic functions Vladimir Azarin |
| title_full_unstemmed | Growth theory of subharmonic functions Vladimir Azarin |
| title_short | Growth theory of subharmonic functions |
| title_sort | growth theory of subharmonic functions |
| topic | Subharmonische Funktion (DE-588)4183900-6 gnd |
| topic_facet | Subharmonische Funktion |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=017001697&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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