Harmonic functions and potentials on finite or infinite networks:
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Berlin ; Heidelberg
Springer
2011
|
| Series: | Lecture notes of the Unione Matematica Italiana
12 |
| Subjects: | |
| Online Access: | Inhaltstext Inhaltsverzeichnis |
| Item Description: | Literaturangaben |
| Physical Description: | X, 141 S. 24 cm |
| ISBN: | 9783642213984 3642213987 |
Staff View
MARC
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| 100 | 1 | |a Anandam, Victor |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a Harmonic functions and potentials on finite or infinite networks |c Victor Anandam |
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| 689 | 0 | 2 | |a Potenzialtheorie |0 (DE-588)4046939-6 |D s |
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Record in the Search Index
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| adam_text |
IMAGE 1
CONTENTS
1 LAPLACE OPERATORS ON NETWORKS AND TREES 1
1 . 1 INTRODUCTION 1
1.2 PRELIMINARIES 4
1.2.1 EXAMPLES OF SUPERHARMONIC FUNCTIONS ON NETWORKS 8
1.3 GREEN'S FORMULAS 10
1.4 MINIMUM PRINCIPLE 13
1.5 INFINITE TREES 16
2 POTENTIAL THEORY ON FINITE NETWORKS 21
2.1 INCIDENCE MATRIX, KIRCHHOFF 'S PROBLEM 21
2.2 DIRICHLET-POISSON EQUATIONS IN FINITE NETWORKS 23
2.3 DIRICHLET SEMI-NORM 32
2.4 SCHROEDINGER OPERATORS ON FINITE NETWORKS 34
3 HARMONIC FUNCTION THEORY ON INFINITE NETWORKS 45
3. 1 INFINITE NETWORKS AND THE LAPLACE OPERATOR 46
3.2 CLASSIFICATION OF INFINITE NETWORKS 52
3.2.1 HARMONIC MEASURE AT INFINITY OF A SECTION 54
3.2.2 POSITIVE HARMONIC FUNCTIONS ON A NETWORK 58
3.2.3 INTEGRAL REPRESENTATION OF POSITIVE HARMONIC FUNCTIONS 60 3.3
HYPERBOLIC NETWORKS 62
3.4 PARABOLIC NETWORKS 70
3.5 FLUX AT INFINITY 78
3.6 PSEUDO-POTENTIALS 87
4 SCHROEDINGER OPERATORS AND SUBORDINATE STRUCTURES ON INFINITE NETWORKS
91
4. 1 LOCAL PROPERTIES OF G-SUPERHARMONIC FUNCTIONS 92
4.2 CLASSIFICATION OF G-HARMONIC NETWORKS 101
4.3 SUBORDINATE STRUCTURES 103
BIBLIOGRAFISCHE INFORMATIONEN HTTP://D-NB.INFO/1011273594
DIGITALISIERT DURCH
IMAGE 2
X CONTENTS
5 POLYHARMONIC FUNCTIONS ON TREES 109
5.1 POLYHARMONIC FUNCTIONS ON INFINITE TREES ILL
5.2 POLYHARMONIC FUNCTIONS WITH POINT SINGULARITY 121
5.3 RIESZ-MARTIN REPRESENTATION FOR POSITIVE M-SUPERHARMONIC FUNCTIONS 1
29
REFERENCES 133
INDEX 139 |
| any_adam_object | 1 |
| author | Anandam, Victor |
| author_facet | Anandam, Victor |
| author_role | aut |
| author_sort | Anandam, Victor |
| author_variant | v a va |
| building | Verbundindex |
| bvnumber | BV039877940 |
| classification_rvk | SK 750 |
| ctrlnum | (OCoLC)731916170 (DE-599)DNB1011273594 |
| dewey-full | 515.96 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 515 - Analysis |
| dewey-raw | 515.96 |
| dewey-search | 515.96 |
| dewey-sort | 3515.96 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| format | Book |
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| illustrated | Not Illustrated |
| indexdate | 2024-07-21T00:24:03Z |
| institution | BVB |
| isbn | 9783642213984 3642213987 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-024737128 |
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| physical | X, 141 S. 24 cm |
| publishDate | 2011 |
| publishDateSearch | 2011 |
| publishDateSort | 2011 |
| publisher | Springer |
| record_format | marc |
| series | Lecture notes of the Unione Matematica Italiana |
| series2 | Lecture notes of the Unione Matematica Italiana |
| spelling | Anandam, Victor Verfasser aut Harmonic functions and potentials on finite or infinite networks Victor Anandam Berlin ; Heidelberg Springer 2011 X, 141 S. 24 cm txt rdacontent n rdamedia nc rdacarrier Lecture notes of the Unione Matematica Italiana 12 Literaturangaben Harmonische Funktion (DE-588)4159122-7 gnd rswk-swf Potenzialtheorie (DE-588)4046939-6 gnd rswk-swf Netzwerk Graphentheorie (DE-588)4705155-3 gnd rswk-swf Harmonische Funktion (DE-588)4159122-7 s Netzwerk Graphentheorie (DE-588)4705155-3 s Potenzialtheorie (DE-588)4046939-6 s DE-604 Erscheint auch als Online-Ausgabe Harmonic Functions and Potentials on Finite or Infinite Networks Lecture notes of the Unione Matematica Italiana 12 (DE-604)BV022297190 12 X:MVB text/html http://deposit.dnb.de/cgi-bin/dokserv?id=3719735&prov=M&dok_var=1&dok_ext=htm Inhaltstext DNB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=024737128&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Anandam, Victor Harmonic functions and potentials on finite or infinite networks Lecture notes of the Unione Matematica Italiana Harmonische Funktion (DE-588)4159122-7 gnd Potenzialtheorie (DE-588)4046939-6 gnd Netzwerk Graphentheorie (DE-588)4705155-3 gnd |
| subject_GND | (DE-588)4159122-7 (DE-588)4046939-6 (DE-588)4705155-3 |
| title | Harmonic functions and potentials on finite or infinite networks |
| title_auth | Harmonic functions and potentials on finite or infinite networks |
| title_exact_search | Harmonic functions and potentials on finite or infinite networks |
| title_full | Harmonic functions and potentials on finite or infinite networks Victor Anandam |
| title_fullStr | Harmonic functions and potentials on finite or infinite networks Victor Anandam |
| title_full_unstemmed | Harmonic functions and potentials on finite or infinite networks Victor Anandam |
| title_short | Harmonic functions and potentials on finite or infinite networks |
| title_sort | harmonic functions and potentials on finite or infinite networks |
| topic | Harmonische Funktion (DE-588)4159122-7 gnd Potenzialtheorie (DE-588)4046939-6 gnd Netzwerk Graphentheorie (DE-588)4705155-3 gnd |
| topic_facet | Harmonische Funktion Potenzialtheorie Netzwerk Graphentheorie |
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| volume_link | (DE-604)BV022297190 |
| work_keys_str_mv | AT anandamvictor harmonicfunctionsandpotentialsonfiniteorinfinitenetworks |