Spektraleigenschaften singulärer gewöhnlicher Differentialoperatoren:
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | German |
| Published: |
Leipzig
Teubner
1977
|
| Edition: | 1. Aufl. |
| Series: | Teubner-Texte zur Mathematik.
|
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | 200 S. |
Staff View
MARC
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| 100 | 1 | |a Müller-Pfeiffer, Erich |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a Spektraleigenschaften singulärer gewöhnlicher Differentialoperatoren |c Erich Müller-Pfeiffer |
| 250 | |a 1. Aufl. | ||
| 264 | 1 | |a Leipzig |b Teubner |c 1977 | |
| 300 | |a 200 S. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 490 | 0 | |a Teubner-Texte zur Mathematik. | |
| 650 | 4 | |a Differential operators | |
| 650 | 4 | |a Eigenvalues | |
| 650 | 4 | |a Spectral theory (Mathematics) | |
| 650 | 0 | 7 | |a Spektrum |0 (DE-588)4056139-2 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Singulärer Spektraloperator |0 (DE-588)4181529-4 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Spektraltheorie |0 (DE-588)4116561-5 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Differentialoperator |0 (DE-588)4012251-7 |2 gnd |9 rswk-swf |
| 689 | 0 | 0 | |a Singulärer Spektraloperator |0 (DE-588)4181529-4 |D s |
| 689 | 0 | 1 | |a Spektrum |0 (DE-588)4056139-2 |D s |
| 689 | 0 | |5 DE-604 | |
| 689 | 1 | 0 | |a Differentialoperator |0 (DE-588)4012251-7 |D s |
| 689 | 1 | 1 | |a Spektraltheorie |0 (DE-588)4116561-5 |D s |
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| 883 | 1 | |8 1\p |a cgwrk |d 20201028 |q DE-101 |u https://d-nb.info/provenance/plan#cgwrk | |
Record in the Search Index
| _version_ | 1804117968086368256 |
|---|---|
| adam_text | Inhalt
Vorwort 3
1. Grundlegende Begriffe und Hilfsmittel 8
Operatoren in Hilbertraum 8
Spektralsatz und Spektrum 10
Bilinearformen 12
Variationsprinzip von Courant 16
Zerlegung von Operatoren 16
Defektzahlen 19
2. Das wesentliche Spektrum 21
Der adjungierte Operator 21
Differentialoperatoren mit konstanten Koeffizien¬
ten; Selbstadjungierte und wesentlich selbstadjun-
gierte Operatoren 24
Invarianz des wesentlichen Spektrums bei
Störungen 33
Lokalisation des wesentlichen Spektrums 38
Relativ kompakte Störungen 55
Existenz isolierter Eigenwerte 68
Der Bulersche Differentialoperator 76
3. Diskrete Spektren 89
Hinreichende Bedingungen für die Diskretheit des
Spektrums 89
Notwendige und hinreichende Bedingungen für die
Diskretheit des Spektrums 94
Der Differentialoperator zweiter Ordnung 108
Eine Abschätzung für das Infimum des Spektrums
periodischer Differentialoperatoren 113
4. Stetige Spektren 115
Beschreibung selbstadjungierter Operatoren
durch Randbedingungen 115
Randbedingungen und Nichtexistenz von Eigenwerten 127
Der Spezialfall der Priedrichsschen Erweiterung . 144
5. Sturm-Liouvillesche Operatoren 150
Oszillationssatz und Sturmscher Vergleichssatz .. 150
5
Nichtexistenz von Eigenwerten 155
Spezialfalle 163
6. Anhang 185
Literatur 200
6
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| any_adam_object | 1 |
| author | Müller-Pfeiffer, Erich |
| author_facet | Müller-Pfeiffer, Erich |
| author_role | aut |
| author_sort | Müller-Pfeiffer, Erich |
| author_variant | e m p emp |
| building | Verbundindex |
| bvnumber | BV003617645 |
| callnumber-first | Q - Science |
| callnumber-label | QA329 |
| callnumber-raw | QA329.4 |
| callnumber-search | QA329.4 |
| callnumber-sort | QA 3329.4 |
| callnumber-subject | QA - Mathematics |
| classification_rvk | SK 620 |
| ctrlnum | (OCoLC)4132153 (DE-599)BVBBV003617645 |
| dewey-full | 515.7/242 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 515 - Analysis |
| dewey-raw | 515.7/242 |
| dewey-search | 515.7/242 |
| dewey-sort | 3515.7 3242 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| edition | 1. Aufl. |
| format | Book |
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| id | DE-604.BV003617645 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-09T16:02:49Z |
| institution | BVB |
| language | German |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-002304143 |
| oclc_num | 4132153 |
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| physical | 200 S. |
| publishDate | 1977 |
| publishDateSearch | 1977 |
| publishDateSort | 1977 |
| publisher | Teubner |
| record_format | marc |
| series2 | Teubner-Texte zur Mathematik. |
| spelling | Müller-Pfeiffer, Erich Verfasser aut Spektraleigenschaften singulärer gewöhnlicher Differentialoperatoren Erich Müller-Pfeiffer 1. Aufl. Leipzig Teubner 1977 200 S. txt rdacontent n rdamedia nc rdacarrier Teubner-Texte zur Mathematik. Differential operators Eigenvalues Spectral theory (Mathematics) Spektrum (DE-588)4056139-2 gnd rswk-swf Singulärer Spektraloperator (DE-588)4181529-4 gnd rswk-swf Spektraltheorie (DE-588)4116561-5 gnd rswk-swf Differentialoperator (DE-588)4012251-7 gnd rswk-swf Singulärer Spektraloperator (DE-588)4181529-4 s Spektrum (DE-588)4056139-2 s DE-604 Differentialoperator (DE-588)4012251-7 s Spektraltheorie (DE-588)4116561-5 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=002304143&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 | Müller-Pfeiffer, Erich Spektraleigenschaften singulärer gewöhnlicher Differentialoperatoren Differential operators Eigenvalues Spectral theory (Mathematics) Spektrum (DE-588)4056139-2 gnd Singulärer Spektraloperator (DE-588)4181529-4 gnd Spektraltheorie (DE-588)4116561-5 gnd Differentialoperator (DE-588)4012251-7 gnd |
| subject_GND | (DE-588)4056139-2 (DE-588)4181529-4 (DE-588)4116561-5 (DE-588)4012251-7 |
| title | Spektraleigenschaften singulärer gewöhnlicher Differentialoperatoren |
| title_auth | Spektraleigenschaften singulärer gewöhnlicher Differentialoperatoren |
| title_exact_search | Spektraleigenschaften singulärer gewöhnlicher Differentialoperatoren |
| title_full | Spektraleigenschaften singulärer gewöhnlicher Differentialoperatoren Erich Müller-Pfeiffer |
| title_fullStr | Spektraleigenschaften singulärer gewöhnlicher Differentialoperatoren Erich Müller-Pfeiffer |
| title_full_unstemmed | Spektraleigenschaften singulärer gewöhnlicher Differentialoperatoren Erich Müller-Pfeiffer |
| title_short | Spektraleigenschaften singulärer gewöhnlicher Differentialoperatoren |
| title_sort | spektraleigenschaften singularer gewohnlicher differentialoperatoren |
| topic | Differential operators Eigenvalues Spectral theory (Mathematics) Spektrum (DE-588)4056139-2 gnd Singulärer Spektraloperator (DE-588)4181529-4 gnd Spektraltheorie (DE-588)4116561-5 gnd Differentialoperator (DE-588)4012251-7 gnd |
| topic_facet | Differential operators Eigenvalues Spectral theory (Mathematics) Spektrum Singulärer Spektraloperator Spektraltheorie Differentialoperator |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=002304143&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| work_keys_str_mv | AT mullerpfeiffererich spektraleigenschaftensingularergewohnlicherdifferentialoperatoren |