Spectral theory of non-self-adjoint two-point differential operators:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Providence, RI
American Mathemat. Soc
2000
|
| Schriftenreihe: | Mathematical surveys and monographs
73 |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | XII, 252 S. graph. Darst. |
| ISBN: | 0821820494 |
Internformat
MARC
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| 100 | 1 | |a Locker, John |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a Spectral theory of non-self-adjoint two-point differential operators |c John Locker |
| 264 | 1 | |a Providence, RI |b American Mathemat. Soc |c 2000 | |
| 300 | |a XII, 252 S. |b graph. Darst. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 490 | 1 | |a Mathematical surveys and monographs |v 73 | |
| 776 | 0 | 8 | |i Erscheint auch als |n Online-Ausgabe |z 978-1-4704-1300-2 |
| 776 | 0 | 8 | |i Erscheint auch als |n Online-Ausgabe |z 978-1-4704-1300-2 |
| 830 | 0 | |a Mathematical surveys and monographs |v 73 |w (DE-604)BV000018014 |9 73 | |
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| 999 | |a oai:aleph.bib-bvb.de:BVB01-021969014 | ||
Datensatz im Suchindex
| _version_ | 1804144909888782336 |
|---|---|
| adam_text | Contents
Preface ix
Chapter 1. Unbounded Linear Operators 1
1. Introduction 1
2. Closed Linear Operators 5
3. Analytic Vector-Valued Functions 9
4. Spectral Theory 21
5. Poles of the Resolvent 35
Chapter 2. Fredholm Operators 41
1. Basic Properties 41
2. Spectral Theory for Fredholm Operators 44
3. Spectral Theory for Index Zero 58
4. Hilbert-Schmidt Operators 64
5. Quasi-Nilpotent Hilbert-Schmidt Operators 70
6. A Hilbert-Schmidt Completeness Theorem 78
Chapter 3. Introduction to the Spectral Theory of
Differential Operators 83
1. An Overview 83
2. Sobolev Spaces 87
3. The Characteristic Determinant and Eigenvalues 89
4. Algebraic Multiplicities 92
Chapter 4. Principal Part of a Differential Operator 97
1. The Principal Part T 97
2. The Characteristic Determinant of T 98
3. The Green s Function of A7 - T 103
4. Alternate Representations 107
5. The Boundary Values: Case n = 2v 110
6. The Boundary Values: Case n = 2i/ - 1 118
7. The Eigenvalues: Case n - 2v 128
8. The Eigenvalues: Case n = 2v- 146
9. Completeness of the Generalized Eigenfunctions 181
Chapter 5. Projections and Generalized Eigenfunction Expansions 193
1. The Associated Projections: n = 2v 193
2. The Associated Projections: n — 2v — 1 201
3. Expansions in the Generalized Eigenfunctions 206
vii
viii CONTENTS
Chapter 6. Spectral Theory for General Differential Operators 211
1. The Resolvents of T and L 211
2. The Operator SRX{T) and Completeness 213
3. Background Theory of Projections 217
4. The Spectral Theory of L: n = 2v, Case 1 225
5. The Spectral Theory of L: n = 2v, Case 2 232
6. The Spectral Theory of L: n = 2v - 1, Case 1 239
Bibliography 247
Index 249
|
| any_adam_object | 1 |
| author | Locker, John |
| author_facet | Locker, John |
| author_role | aut |
| author_sort | Locker, John |
| author_variant | j l jl |
| building | Verbundindex |
| bvnumber | BV026392345 |
| classification_rvk | SK 620 |
| ctrlnum | (OCoLC)247761910 (DE-599)BVBBV026392345 |
| dewey-full | 515.7246 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 515 - Analysis |
| dewey-raw | 515.7246 |
| dewey-search | 515.7246 |
| dewey-sort | 3515.7246 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| format | Book |
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| id | DE-604.BV026392345 |
| illustrated | Illustrated |
| indexdate | 2024-07-09T23:11:03Z |
| institution | BVB |
| isbn | 0821820494 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-021969014 |
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| physical | XII, 252 S. graph. Darst. |
| publishDate | 2000 |
| publishDateSearch | 2000 |
| publishDateSort | 2000 |
| publisher | American Mathemat. Soc |
| record_format | marc |
| series | Mathematical surveys and monographs |
| series2 | Mathematical surveys and monographs |
| spelling | Locker, John Verfasser aut Spectral theory of non-self-adjoint two-point differential operators John Locker Providence, RI American Mathemat. Soc 2000 XII, 252 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Mathematical surveys and monographs 73 Erscheint auch als Online-Ausgabe 978-1-4704-1300-2 Mathematical surveys and monographs 73 (DE-604)BV000018014 73 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=021969014&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Locker, John Spectral theory of non-self-adjoint two-point differential operators Mathematical surveys and monographs |
| title | Spectral theory of non-self-adjoint two-point differential operators |
| title_auth | Spectral theory of non-self-adjoint two-point differential operators |
| title_exact_search | Spectral theory of non-self-adjoint two-point differential operators |
| title_full | Spectral theory of non-self-adjoint two-point differential operators John Locker |
| title_fullStr | Spectral theory of non-self-adjoint two-point differential operators John Locker |
| title_full_unstemmed | Spectral theory of non-self-adjoint two-point differential operators John Locker |
| title_short | Spectral theory of non-self-adjoint two-point differential operators |
| title_sort | spectral theory of non self adjoint two point differential operators |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=021969014&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV000018014 |
| work_keys_str_mv | AT lockerjohn spectraltheoryofnonselfadjointtwopointdifferentialoperators |