Spectral theory of differential and difference operators in Hilbert spaces:
Saved in:
| Main Author: | |
|---|---|
| Format: | Thesis Book |
| Language: | English |
| Published: |
Berlin
Köster
2010
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| Edition: | 1. Aufl. |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | VIII, 143 S. 21 cm |
| ISBN: | 9783895747410 |
Staff View
MARC
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| 245 | 1 | 0 | |a Spectral theory of differential and difference operators in Hilbert spaces |c Nyamwala Fredrick Oluoch |
| 250 | |a 1. Aufl. | ||
| 264 | 1 | |a Berlin |b Köster |c 2010 | |
| 300 | |a VIII, 143 S. |c 21 cm | ||
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Record in the Search Index
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| adam_text | IMAGE 1
CONTENTS
ACKNOWLEDGEMENTS I
SUMMARY VII
TERMINOLOGY AND NOTATION 1
1 INTRODUCTION 3
1.1 DIFFERENTIAL OPERATORS 5
1.1.1 BACKGROUND INFORMATION 5
1.1.2 BASIC NOTATIONS 8
1.1.3 HAMILTONIAN SYSTEMS 10
1.1.4 M-MATRIX 20
1.1.5 ASYMPTOTIC INTEGRATION 25
1.1.G TRANSFORMATION OF THE SYSTEM INTO LEVINSON S FORM 28
1.2 DIFFERENCE OPERATORS 35
1.2.1 BACKGROUND INFORMATION 35
1.2.2 HAMILTONIAN SYSTEM 37
1.2.3 M-MATRIX 41
1.2.4 ASYMPTOTIC SUMMATION 43
1.2.5 TRANSFORMATION OF THE SYSTEM 45
2 DIFFERENTIAL OPERATORS 51
2.1 CLUSTERS OF SIZE TWO 53
2.2 ROOTS OF POLYNOMIALS 03
2.3 THE DICHOTOMY CONDITION 73
2.4 DEFIEIENY INDICES AND SPECTRA 79
2.5 OPERATORS ON M 93
BIBLIOGRAFISCHE INFORMATIONEN HTTP://D-NB.INFO/1004755465
DIGITALISIERT DURCH
IMAGE 2
IV CONTENTS
2.G POWER COEFFICIENTS AND EXTENSIONS I)6
2.6.1 POWER COEFFICIENTS 9G
2.6.2 EXTENSIONS 102
3 D I F F E R E N CE O P E R A T O RS 107
3.1 THE CONSTANT COEFFICIENT 107
3.2 EVEN ORDER DIFFERENCE OPERATORS I LL
3.3 EXAMPLES 121
4 F O U R TH O R D ER D I F F E R E N CE O P E R A T O RS 125 4.1 SYSTEM
FORMULATION 126
4.2 UNBOUNDED COEFFICIENTS 126
4.2.1 P(I) Y CO, Q(T) BOUNDED 126
4.2.2 P T) - - C O, Q(T) BOUNDED 133
4.2.3 | G(T) I-» OO 134
4.3 EXAMPLES 135
BIBLIOGRAPHY 137
|
| any_adam_object | 1 |
| author | Oluoch, Nyamwala Fredrick |
| author_GND | (DE-588)142077550 |
| author_facet | Oluoch, Nyamwala Fredrick |
| author_role | aut |
| author_sort | Oluoch, Nyamwala Fredrick |
| author_variant | n f o nf nfo |
| building | Verbundindex |
| bvnumber | BV036790632 |
| ctrlnum | (DE-599)DNB1004755465 |
| dewey-full | 515.724 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 515 - Analysis |
| dewey-raw | 515.724 |
| dewey-search | 515.724 |
| dewey-sort | 3515.724 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| edition | 1. Aufl. |
| format | Thesis Book |
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| id | DE-604.BV036790632 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-09T22:48:10Z |
| institution | BVB |
| isbn | 9783895747410 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-020707055 |
| open_access_boolean | |
| physical | VIII, 143 S. 21 cm |
| publishDate | 2010 |
| publishDateSearch | 2010 |
| publishDateSort | 2010 |
| publisher | Köster |
| record_format | marc |
| spelling | Oluoch, Nyamwala Fredrick Verfasser (DE-588)142077550 aut Spectral theory of differential and difference operators in Hilbert spaces Nyamwala Fredrick Oluoch 1. Aufl. Berlin Köster 2010 VIII, 143 S. 21 cm txt rdacontent n rdamedia nc rdacarrier Zugl.: Osnabrück, Univ., Diss., 2010 Spektraltheorie (DE-588)4116561-5 gnd rswk-swf Differentialoperator (DE-588)4012251-7 gnd rswk-swf Differenzenoperator (DE-588)4149798-3 gnd rswk-swf Hilbert-Raum (DE-588)4159850-7 gnd rswk-swf (DE-588)4113937-9 Hochschulschrift gnd-content Differentialoperator (DE-588)4012251-7 s Differenzenoperator (DE-588)4149798-3 s Spektraltheorie (DE-588)4116561-5 s Hilbert-Raum (DE-588)4159850-7 s DE-604 DNB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=020707055&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Oluoch, Nyamwala Fredrick Spectral theory of differential and difference operators in Hilbert spaces Spektraltheorie (DE-588)4116561-5 gnd Differentialoperator (DE-588)4012251-7 gnd Differenzenoperator (DE-588)4149798-3 gnd Hilbert-Raum (DE-588)4159850-7 gnd |
| subject_GND | (DE-588)4116561-5 (DE-588)4012251-7 (DE-588)4149798-3 (DE-588)4159850-7 (DE-588)4113937-9 |
| title | Spectral theory of differential and difference operators in Hilbert spaces |
| title_auth | Spectral theory of differential and difference operators in Hilbert spaces |
| title_exact_search | Spectral theory of differential and difference operators in Hilbert spaces |
| title_full | Spectral theory of differential and difference operators in Hilbert spaces Nyamwala Fredrick Oluoch |
| title_fullStr | Spectral theory of differential and difference operators in Hilbert spaces Nyamwala Fredrick Oluoch |
| title_full_unstemmed | Spectral theory of differential and difference operators in Hilbert spaces Nyamwala Fredrick Oluoch |
| title_short | Spectral theory of differential and difference operators in Hilbert spaces |
| title_sort | spectral theory of differential and difference operators in hilbert spaces |
| topic | Spektraltheorie (DE-588)4116561-5 gnd Differentialoperator (DE-588)4012251-7 gnd Differenzenoperator (DE-588)4149798-3 gnd Hilbert-Raum (DE-588)4159850-7 gnd |
| topic_facet | Spektraltheorie Differentialoperator Differenzenoperator Hilbert-Raum Hochschulschrift |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=020707055&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| work_keys_str_mv | AT oluochnyamwalafredrick spectraltheoryofdifferentialanddifferenceoperatorsinhilbertspaces |